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Finding the Fourth Proportional to 2,373.34, 3,560.52 and 730

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Solution

The fourth proportional to 2,373.34, 3,560.52 and 730 is: 1,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.34 : 3,560.52 = 730 : x
  2. Step 2: Convert to fraction form
    2,373.34/3,560.52 = 730/x
  3. Step 3: Cross multiply
    2,373.34x = 3,560.52 × 730
  4. Step 4: Simplify right side
    2,373.34x = 2,599,179.60
  5. Step 5: Solve for x
    x = 2,599,179.60/2,373.34
  6. Step 6: Final answer
    x = 1,095.16

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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.