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Finding the Fourth Proportional to 2,030.59, 2,801.14 and 1,400.02

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Solution

The fourth proportional to 2,030.59, 2,801.14 and 1,400.02 is: 1,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.59 : 2,801.14 = 1,400.02 : x
  2. Step 2: Convert to fraction form
    2,030.59/2,801.14 = 1,400.02/x
  3. Step 3: Cross multiply
    2,030.59x = 2,801.14 × 1,400.02
  4. Step 4: Simplify right side
    2,030.59x = 3,921,652.02
  5. Step 5: Solve for x
    x = 3,921,652.02/2,030.59
  6. Step 6: Final answer
    x = 1,931.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.