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Finding the Fourth Proportional to 2,442.05, 3,663.62 and 710.81

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Solution

The fourth proportional to 2,442.05, 3,663.62 and 710.81 is: 1,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.05 : 3,663.62 = 710.81 : x
  2. Step 2: Convert to fraction form
    2,442.05/3,663.62 = 710.81/x
  3. Step 3: Cross multiply
    2,442.05x = 3,663.62 × 710.81
  4. Step 4: Simplify right side
    2,442.05x = 2,604,146.00
  5. Step 5: Solve for x
    x = 2,604,146.00/2,442.05
  6. Step 6: Final answer
    x = 1,066.38

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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.