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Finding the Fourth Proportional to 2,260.85, 3,390.95 and 874.85

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Solution

The fourth proportional to 2,260.85, 3,390.95 and 874.85 is: 1,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.85 : 3,390.95 = 874.85 : x
  2. Step 2: Convert to fraction form
    2,260.85/3,390.95 = 874.85/x
  3. Step 3: Cross multiply
    2,260.85x = 3,390.95 × 874.85
  4. Step 4: Simplify right side
    2,260.85x = 2,966,551.28
  5. Step 5: Solve for x
    x = 2,966,551.28/2,260.85
  6. Step 6: Final answer
    x = 1,312.14

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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.