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Finding the Fourth Proportional to 6,041.34, 9,061.68 and 1,658.80

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Solution

The fourth proportional to 6,041.34, 9,061.68 and 1,658.80 is: 2,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.34 : 9,061.68 = 1,658.80 : x
  2. Step 2: Convert to fraction form
    6,041.34/9,061.68 = 1,658.80/x
  3. Step 3: Cross multiply
    6,041.34x = 9,061.68 × 1,658.80
  4. Step 4: Simplify right side
    6,041.34x = 15,031,514.78
  5. Step 5: Solve for x
    x = 15,031,514.78/6,041.34
  6. Step 6: Final answer
    x = 2,488.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.