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Finding the Fourth Proportional to 1,707.47, 2,561.10 and 719.87

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Solution

The fourth proportional to 1,707.47, 2,561.10 and 719.87 is: 1,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.47 : 2,561.10 = 719.87 : x
  2. Step 2: Convert to fraction form
    1,707.47/2,561.10 = 719.87/x
  3. Step 3: Cross multiply
    1,707.47x = 2,561.10 × 719.87
  4. Step 4: Simplify right side
    1,707.47x = 1,843,646.25
  5. Step 5: Solve for x
    x = 1,843,646.25/1,707.47
  6. Step 6: Final answer
    x = 1,079.76

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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.