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Finding the Fourth Proportional to 1,478.98, 2,215.42 and 1,411.35

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Solution

The fourth proportional to 1,478.98, 2,215.42 and 1,411.35 is: 2,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.98 : 2,215.42 = 1,411.35 : x
  2. Step 2: Convert to fraction form
    1,478.98/2,215.42 = 1,411.35/x
  3. Step 3: Cross multiply
    1,478.98x = 2,215.42 × 1,411.35
  4. Step 4: Simplify right side
    1,478.98x = 3,126,733.02
  5. Step 5: Solve for x
    x = 3,126,733.02/1,478.98
  6. Step 6: Final answer
    x = 2,114.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.