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Finding the Fourth Proportional to 1,470.35, 2,029.19 and 972.14

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Solution

The fourth proportional to 1,470.35, 2,029.19 and 972.14 is: 1,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.35 : 2,029.19 = 972.14 : x
  2. Step 2: Convert to fraction form
    1,470.35/2,029.19 = 972.14/x
  3. Step 3: Cross multiply
    1,470.35x = 2,029.19 × 972.14
  4. Step 4: Simplify right side
    1,470.35x = 1,972,641.76
  5. Step 5: Solve for x
    x = 1,972,641.76/1,470.35
  6. Step 6: Final answer
    x = 1,341.61

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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.