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Finding the Fourth Proportional to 2,038.05, 3,055.58 and 650.59

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Solution

The fourth proportional to 2,038.05, 3,055.58 and 650.59 is: 975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.05 : 3,055.58 = 650.59 : x
  2. Step 2: Convert to fraction form
    2,038.05/3,055.58 = 650.59/x
  3. Step 3: Cross multiply
    2,038.05x = 3,055.58 × 650.59
  4. Step 4: Simplify right side
    2,038.05x = 1,987,911.26
  5. Step 5: Solve for x
    x = 1,987,911.26/2,038.05
  6. Step 6: Final answer
    x = 975.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.