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Finding the Fourth Proportional to 1,710.52, 2,566.28 and 556.24

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Solution

The fourth proportional to 1,710.52, 2,566.28 and 556.24 is: 834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.52 : 2,566.28 = 556.24 : x
  2. Step 2: Convert to fraction form
    1,710.52/2,566.28 = 556.24/x
  3. Step 3: Cross multiply
    1,710.52x = 2,566.28 × 556.24
  4. Step 4: Simplify right side
    1,710.52x = 1,427,467.59
  5. Step 5: Solve for x
    x = 1,427,467.59/1,710.52
  6. Step 6: Final answer
    x = 834.52

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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.