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Finding the Fourth Proportional to 1,562.77, 2,341.68 and 831.34

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Solution

The fourth proportional to 1,562.77, 2,341.68 and 831.34 is: 1,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.77 : 2,341.68 = 831.34 : x
  2. Step 2: Convert to fraction form
    1,562.77/2,341.68 = 831.34/x
  3. Step 3: Cross multiply
    1,562.77x = 2,341.68 × 831.34
  4. Step 4: Simplify right side
    1,562.77x = 1,946,732.25
  5. Step 5: Solve for x
    x = 1,946,732.25/1,562.77
  6. Step 6: Final answer
    x = 1,245.69

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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.