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Finding the Fourth Proportional to 1,707.08, 2,357.52 and 1,470.56

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Solution

The fourth proportional to 1,707.08, 2,357.52 and 1,470.56 is: 2,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.08 : 2,357.52 = 1,470.56 : x
  2. Step 2: Convert to fraction form
    1,707.08/2,357.52 = 1,470.56/x
  3. Step 3: Cross multiply
    1,707.08x = 2,357.52 × 1,470.56
  4. Step 4: Simplify right side
    1,707.08x = 3,466,874.61
  5. Step 5: Solve for x
    x = 3,466,874.61/1,707.08
  6. Step 6: Final answer
    x = 2,030.88

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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.