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Finding the Fourth Proportional to 2,561.64, 3,535.29 and 1,513.50

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Solution

The fourth proportional to 2,561.64, 3,535.29 and 1,513.50 is: 2,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.64 : 3,535.29 = 1,513.50 : x
  2. Step 2: Convert to fraction form
    2,561.64/3,535.29 = 1,513.50/x
  3. Step 3: Cross multiply
    2,561.64x = 3,535.29 × 1,513.50
  4. Step 4: Simplify right side
    2,561.64x = 5,350,661.42
  5. Step 5: Solve for x
    x = 5,350,661.42/2,561.64
  6. Step 6: Final answer
    x = 2,088.76

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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.