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Finding the Fourth Proportional to 2,337.47, 3,506.75 and 693.98

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Solution

The fourth proportional to 2,337.47, 3,506.75 and 693.98 is: 1,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.47 : 3,506.75 = 693.98 : x
  2. Step 2: Convert to fraction form
    2,337.47/3,506.75 = 693.98/x
  3. Step 3: Cross multiply
    2,337.47x = 3,506.75 × 693.98
  4. Step 4: Simplify right side
    2,337.47x = 2,433,610.90
  5. Step 5: Solve for x
    x = 2,433,610.90/2,337.47
  6. Step 6: Final answer
    x = 1,041.13

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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.