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Finding the Fourth Proportional to 1,742.56, 2,611.10 and 1,047.58

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Solution

The fourth proportional to 1,742.56, 2,611.10 and 1,047.58 is: 1,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.56 : 2,611.10 = 1,047.58 : x
  2. Step 2: Convert to fraction form
    1,742.56/2,611.10 = 1,047.58/x
  3. Step 3: Cross multiply
    1,742.56x = 2,611.10 × 1,047.58
  4. Step 4: Simplify right side
    1,742.56x = 2,735,332.23
  5. Step 5: Solve for x
    x = 2,735,332.23/1,742.56
  6. Step 6: Final answer
    x = 1,569.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.