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Finding the Fourth Proportional to 1,430.96, 1,972.88 and 1,234.08

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Solution

The fourth proportional to 1,430.96, 1,972.88 and 1,234.08 is: 1,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.96 : 1,972.88 = 1,234.08 : x
  2. Step 2: Convert to fraction form
    1,430.96/1,972.88 = 1,234.08/x
  3. Step 3: Cross multiply
    1,430.96x = 1,972.88 × 1,234.08
  4. Step 4: Simplify right side
    1,430.96x = 2,434,691.75
  5. Step 5: Solve for x
    x = 2,434,691.75/1,430.96
  6. Step 6: Final answer
    x = 1,701.44

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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.