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Finding the Fourth Proportional to 1,615.98, 2,230.08 and 907.86

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Solution

The fourth proportional to 1,615.98, 2,230.08 and 907.86 is: 1,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.98 : 2,230.08 = 907.86 : x
  2. Step 2: Convert to fraction form
    1,615.98/2,230.08 = 907.86/x
  3. Step 3: Cross multiply
    1,615.98x = 2,230.08 × 907.86
  4. Step 4: Simplify right side
    1,615.98x = 2,024,600.43
  5. Step 5: Solve for x
    x = 2,024,600.43/1,615.98
  6. Step 6: Final answer
    x = 1,252.86

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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.