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Finding the Fourth Proportional to 2,658.45, 3,987.37 and 710.81

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Solution

The fourth proportional to 2,658.45, 3,987.37 and 710.81 is: 1,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.45 : 3,987.37 = 710.81 : x
  2. Step 2: Convert to fraction form
    2,658.45/3,987.37 = 710.81/x
  3. Step 3: Cross multiply
    2,658.45x = 3,987.37 × 710.81
  4. Step 4: Simplify right side
    2,658.45x = 2,834,262.47
  5. Step 5: Solve for x
    x = 2,834,262.47/2,658.45
  6. Step 6: Final answer
    x = 1,066.13

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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.