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Finding the Fourth Proportional to 1,566.50, 2,160.50 and 1,068.62

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Solution

The fourth proportional to 1,566.50, 2,160.50 and 1,068.62 is: 1,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.50 : 2,160.50 = 1,068.62 : x
  2. Step 2: Convert to fraction form
    1,566.50/2,160.50 = 1,068.62/x
  3. Step 3: Cross multiply
    1,566.50x = 2,160.50 × 1,068.62
  4. Step 4: Simplify right side
    1,566.50x = 2,308,753.51
  5. Step 5: Solve for x
    x = 2,308,753.51/1,566.50
  6. Step 6: Final answer
    x = 1,473.83

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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.