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Finding the Fourth Proportional to 1,470.51, 2,203.69 and 1,057.70

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Solution

The fourth proportional to 1,470.51, 2,203.69 and 1,057.70 is: 1,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.51 : 2,203.69 = 1,057.70 : x
  2. Step 2: Convert to fraction form
    1,470.51/2,203.69 = 1,057.70/x
  3. Step 3: Cross multiply
    1,470.51x = 2,203.69 × 1,057.70
  4. Step 4: Simplify right side
    1,470.51x = 2,330,842.91
  5. Step 5: Solve for x
    x = 2,330,842.91/1,470.51
  6. Step 6: Final answer
    x = 1,585.06

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