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Finding the Fourth Proportional to 2,523.48, 3,482.10 and 1,404.15

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Solution

The fourth proportional to 2,523.48, 3,482.10 and 1,404.15 is: 1,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.48 : 3,482.10 = 1,404.15 : x
  2. Step 2: Convert to fraction form
    2,523.48/3,482.10 = 1,404.15/x
  3. Step 3: Cross multiply
    2,523.48x = 3,482.10 × 1,404.15
  4. Step 4: Simplify right side
    2,523.48x = 4,889,390.72
  5. Step 5: Solve for x
    x = 4,889,390.72/2,523.48
  6. Step 6: Final answer
    x = 1,937.56

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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.