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Finding the Fourth Proportional to 2,535.47, 3,499.08 and 1,416.42

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Solution

The fourth proportional to 2,535.47, 3,499.08 and 1,416.42 is: 1,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.47 : 3,499.08 = 1,416.42 : x
  2. Step 2: Convert to fraction form
    2,535.47/3,499.08 = 1,416.42/x
  3. Step 3: Cross multiply
    2,535.47x = 3,499.08 × 1,416.42
  4. Step 4: Simplify right side
    2,535.47x = 4,956,166.89
  5. Step 5: Solve for x
    x = 4,956,166.89/2,535.47
  6. Step 6: Final answer
    x = 1,954.74

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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.