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Finding the Fourth Proportional to 1,434.78, 1,980.89 and 1,102.55

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Solution

The fourth proportional to 1,434.78, 1,980.89 and 1,102.55 is: 1,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.78 : 1,980.89 = 1,102.55 : x
  2. Step 2: Convert to fraction form
    1,434.78/1,980.89 = 1,102.55/x
  3. Step 3: Cross multiply
    1,434.78x = 1,980.89 × 1,102.55
  4. Step 4: Simplify right side
    1,434.78x = 2,184,023.12
  5. Step 5: Solve for x
    x = 2,184,023.12/1,434.78
  6. Step 6: Final answer
    x = 1,522.20

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