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Finding the Fourth Proportional to 3,066.85, 4,600.23 and 875.29

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Solution

The fourth proportional to 3,066.85, 4,600.23 and 875.29 is: 1,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.85 : 4,600.23 = 875.29 : x
  2. Step 2: Convert to fraction form
    3,066.85/4,600.23 = 875.29/x
  3. Step 3: Cross multiply
    3,066.85x = 4,600.23 × 875.29
  4. Step 4: Simplify right side
    3,066.85x = 4,026,535.32
  5. Step 5: Solve for x
    x = 4,026,535.32/3,066.85
  6. Step 6: Final answer
    x = 1,312.92

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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.