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Finding the Fourth Proportional to 2,374.81, 3,560.91 and 730.90

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Solution

The fourth proportional to 2,374.81, 3,560.91 and 730.90 is: 1,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.81 : 3,560.91 = 730.90 : x
  2. Step 2: Convert to fraction form
    2,374.81/3,560.91 = 730.90/x
  3. Step 3: Cross multiply
    2,374.81x = 3,560.91 × 730.90
  4. Step 4: Simplify right side
    2,374.81x = 2,602,669.12
  5. Step 5: Solve for x
    x = 2,602,669.12/2,374.81
  6. Step 6: Final answer
    x = 1,095.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.