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Finding the Fourth Proportional to 2,899.80, 4,347.54 and 1,359

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Solution

The fourth proportional to 2,899.80, 4,347.54 and 1,359 is: 2,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.80 : 4,347.54 = 1,359 : x
  2. Step 2: Convert to fraction form
    2,899.80/4,347.54 = 1,359/x
  3. Step 3: Cross multiply
    2,899.80x = 4,347.54 × 1,359
  4. Step 4: Simplify right side
    2,899.80x = 5,908,306.86
  5. Step 5: Solve for x
    x = 5,908,306.86/2,899.80
  6. Step 6: Final answer
    x = 2,037.49

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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.