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Finding the Fourth Proportional to 1,474.98, 2,209.43 and 1,407.35

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Solution

The fourth proportional to 1,474.98, 2,209.43 and 1,407.35 is: 2,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.98 : 2,209.43 = 1,407.35 : x
  2. Step 2: Convert to fraction form
    1,474.98/2,209.43 = 1,407.35/x
  3. Step 3: Cross multiply
    1,474.98x = 2,209.43 × 1,407.35
  4. Step 4: Simplify right side
    1,474.98x = 3,109,423.23
  5. Step 5: Solve for x
    x = 3,109,423.23/1,474.98
  6. Step 6: Final answer
    x = 2,108.11

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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.