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Finding the Fourth Proportional to 1,663.49, 2,495.62 and 567.86

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Solution

The fourth proportional to 1,663.49, 2,495.62 and 567.86 is: 851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.49 : 2,495.62 = 567.86 : x
  2. Step 2: Convert to fraction form
    1,663.49/2,495.62 = 567.86/x
  3. Step 3: Cross multiply
    1,663.49x = 2,495.62 × 567.86
  4. Step 4: Simplify right side
    1,663.49x = 1,417,162.77
  5. Step 5: Solve for x
    x = 1,417,162.77/1,663.49
  6. Step 6: Final answer
    x = 851.92

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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.