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Finding the Fourth Proportional to 2,374.50, 3,560.05 and 730.15

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Solution

The fourth proportional to 2,374.50, 3,560.05 and 730.15 is: 1,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.50 : 3,560.05 = 730.15 : x
  2. Step 2: Convert to fraction form
    2,374.50/3,560.05 = 730.15/x
  3. Step 3: Cross multiply
    2,374.50x = 3,560.05 × 730.15
  4. Step 4: Simplify right side
    2,374.50x = 2,599,370.51
  5. Step 5: Solve for x
    x = 2,599,370.51/2,374.50
  6. Step 6: Final answer
    x = 1,094.70

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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.