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Finding the Fourth Proportional to 2,920.38, 4,030.14 and 1,594.00

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Solution

The fourth proportional to 2,920.38, 4,030.14 and 1,594.00 is: 2,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.38 : 4,030.14 = 1,594.00 : x
  2. Step 2: Convert to fraction form
    2,920.38/4,030.14 = 1,594.00/x
  3. Step 3: Cross multiply
    2,920.38x = 4,030.14 × 1,594.00
  4. Step 4: Simplify right side
    2,920.38x = 6,424,048.20
  5. Step 5: Solve for x
    x = 6,424,048.20/2,920.38
  6. Step 6: Final answer
    x = 2,199.73

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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.