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Finding the Fourth Proportional to 1,708.47, 2,358.87 and 1,309.44

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Solution

The fourth proportional to 1,708.47, 2,358.87 and 1,309.44 is: 1,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.47 : 2,358.87 = 1,309.44 : x
  2. Step 2: Convert to fraction form
    1,708.47/2,358.87 = 1,309.44/x
  3. Step 3: Cross multiply
    1,708.47x = 2,358.87 × 1,309.44
  4. Step 4: Simplify right side
    1,708.47x = 3,088,798.73
  5. Step 5: Solve for x
    x = 3,088,798.73/1,708.47
  6. Step 6: Final answer
    x = 1,807.93

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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.