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Finding the Fourth Proportional to 1,470.60, 2,029.86 and 973.62

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Solution

The fourth proportional to 1,470.60, 2,029.86 and 973.62 is: 1,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.60 : 2,029.86 = 973.62 : x
  2. Step 2: Convert to fraction form
    1,470.60/2,029.86 = 973.62/x
  3. Step 3: Cross multiply
    1,470.60x = 2,029.86 × 973.62
  4. Step 4: Simplify right side
    1,470.60x = 1,976,312.29
  5. Step 5: Solve for x
    x = 1,976,312.29/1,470.60
  6. Step 6: Final answer
    x = 1,343.88

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