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Finding the Fourth Proportional to 2,535.64, 3,498.86 and 1,416.53

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Solution

The fourth proportional to 2,535.64, 3,498.86 and 1,416.53 is: 1,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.64 : 3,498.86 = 1,416.53 : x
  2. Step 2: Convert to fraction form
    2,535.64/3,498.86 = 1,416.53/x
  3. Step 3: Cross multiply
    2,535.64x = 3,498.86 × 1,416.53
  4. Step 4: Simplify right side
    2,535.64x = 4,956,252.44
  5. Step 5: Solve for x
    x = 4,956,252.44/2,535.64
  6. Step 6: Final answer
    x = 1,954.64

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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.