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Finding the Fourth Proportional to 1,686.32, 2,529.52 and 917.36

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Solution

The fourth proportional to 1,686.32, 2,529.52 and 917.36 is: 1,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.32 : 2,529.52 = 917.36 : x
  2. Step 2: Convert to fraction form
    1,686.32/2,529.52 = 917.36/x
  3. Step 3: Cross multiply
    1,686.32x = 2,529.52 × 917.36
  4. Step 4: Simplify right side
    1,686.32x = 2,320,480.47
  5. Step 5: Solve for x
    x = 2,320,480.47/1,686.32
  6. Step 6: Final answer
    x = 1,376.06

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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.