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Finding the Fourth Proportional to 1,756.71, 2,632.05 and 1,139.76

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Solution

The fourth proportional to 1,756.71, 2,632.05 and 1,139.76 is: 1,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.71 : 2,632.05 = 1,139.76 : x
  2. Step 2: Convert to fraction form
    1,756.71/2,632.05 = 1,139.76/x
  3. Step 3: Cross multiply
    1,756.71x = 2,632.05 × 1,139.76
  4. Step 4: Simplify right side
    1,756.71x = 2,999,905.31
  5. Step 5: Solve for x
    x = 2,999,905.31/1,756.71
  6. Step 6: Final answer
    x = 1,707.68

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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.