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Finding the Fourth Proportional to 1,658.17, 2,285.87 and 1,159.26

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Solution

The fourth proportional to 1,658.17, 2,285.87 and 1,159.26 is: 1,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.17 : 2,285.87 = 1,159.26 : x
  2. Step 2: Convert to fraction form
    1,658.17/2,285.87 = 1,159.26/x
  3. Step 3: Cross multiply
    1,658.17x = 2,285.87 × 1,159.26
  4. Step 4: Simplify right side
    1,658.17x = 2,649,922.67
  5. Step 5: Solve for x
    x = 2,649,922.67/1,658.17
  6. Step 6: Final answer
    x = 1,598.10

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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.