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Finding the Fourth Proportional to 1,442.00, 2,167.36 and 958.10

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Solution

The fourth proportional to 1,442.00, 2,167.36 and 958.10 is: 1,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.00 : 2,167.36 = 958.10 : x
  2. Step 2: Convert to fraction form
    1,442.00/2,167.36 = 958.10/x
  3. Step 3: Cross multiply
    1,442.00x = 2,167.36 × 958.10
  4. Step 4: Simplify right side
    1,442.00x = 2,076,534.38
  5. Step 5: Solve for x
    x = 2,076,534.38/1,442.00
  6. Step 6: Final answer
    x = 1,440.04

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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.