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Finding the Fourth Proportional to 2,041.02, 3,061.53 and 886.86

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Solution

The fourth proportional to 2,041.02, 3,061.53 and 886.86 is: 1,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.02 : 3,061.53 = 886.86 : x
  2. Step 2: Convert to fraction form
    2,041.02/3,061.53 = 886.86/x
  3. Step 3: Cross multiply
    2,041.02x = 3,061.53 × 886.86
  4. Step 4: Simplify right side
    2,041.02x = 2,715,148.50
  5. Step 5: Solve for x
    x = 2,715,148.50/2,041.02
  6. Step 6: Final answer
    x = 1,330.29

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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.