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Finding the Fourth Proportional to 2,697.48, 4,046.04 and 1,587.50

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Solution

The fourth proportional to 2,697.48, 4,046.04 and 1,587.50 is: 2,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.48 : 4,046.04 = 1,587.50 : x
  2. Step 2: Convert to fraction form
    2,697.48/4,046.04 = 1,587.50/x
  3. Step 3: Cross multiply
    2,697.48x = 4,046.04 × 1,587.50
  4. Step 4: Simplify right side
    2,697.48x = 6,423,088.50
  5. Step 5: Solve for x
    x = 6,423,088.50/2,697.48
  6. Step 6: Final answer
    x = 2,381.14

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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.