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Finding the Fourth Proportional to 2,337.45, 3,498.77 and 1,503.40

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Solution

The fourth proportional to 2,337.45, 3,498.77 and 1,503.40 is: 2,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.45 : 3,498.77 = 1,503.40 : x
  2. Step 2: Convert to fraction form
    2,337.45/3,498.77 = 1,503.40/x
  3. Step 3: Cross multiply
    2,337.45x = 3,498.77 × 1,503.40
  4. Step 4: Simplify right side
    2,337.45x = 5,260,050.82
  5. Step 5: Solve for x
    x = 5,260,050.82/2,337.45
  6. Step 6: Final answer
    x = 2,250.34

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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.