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Finding the Fourth Proportional to 2,390.77, 3,582.20 and 929.12

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Solution

The fourth proportional to 2,390.77, 3,582.20 and 929.12 is: 1,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.77 : 3,582.20 = 929.12 : x
  2. Step 2: Convert to fraction form
    2,390.77/3,582.20 = 929.12/x
  3. Step 3: Cross multiply
    2,390.77x = 3,582.20 × 929.12
  4. Step 4: Simplify right side
    2,390.77x = 3,328,293.66
  5. Step 5: Solve for x
    x = 3,328,293.66/2,390.77
  6. Step 6: Final answer
    x = 1,392.14

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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.