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Finding the Fourth Proportional to 1,466.46, 2,023.47 and 876.90

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Solution

The fourth proportional to 1,466.46, 2,023.47 and 876.90 is: 1,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.46 : 2,023.47 = 876.90 : x
  2. Step 2: Convert to fraction form
    1,466.46/2,023.47 = 876.90/x
  3. Step 3: Cross multiply
    1,466.46x = 2,023.47 × 876.90
  4. Step 4: Simplify right side
    1,466.46x = 1,774,380.84
  5. Step 5: Solve for x
    x = 1,774,380.84/1,466.46
  6. Step 6: Final answer
    x = 1,209.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.