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Finding the Fourth Proportional to 2,555.76, 3,527.28 and 1,561.17

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Solution

The fourth proportional to 2,555.76, 3,527.28 and 1,561.17 is: 2,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.76 : 3,527.28 = 1,561.17 : x
  2. Step 2: Convert to fraction form
    2,555.76/3,527.28 = 1,561.17/x
  3. Step 3: Cross multiply
    2,555.76x = 3,527.28 × 1,561.17
  4. Step 4: Simplify right side
    2,555.76x = 5,506,683.72
  5. Step 5: Solve for x
    x = 5,506,683.72/2,555.76
  6. Step 6: Final answer
    x = 2,154.62

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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.