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Finding the Fourth Proportional to 1,746.47, 2,619.50 and 650.71

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Solution

The fourth proportional to 1,746.47, 2,619.50 and 650.71 is: 975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.47 : 2,619.50 = 650.71 : x
  2. Step 2: Convert to fraction form
    1,746.47/2,619.50 = 650.71/x
  3. Step 3: Cross multiply
    1,746.47x = 2,619.50 × 650.71
  4. Step 4: Simplify right side
    1,746.47x = 1,704,525.04
  5. Step 5: Solve for x
    x = 1,704,525.04/1,746.47
  6. Step 6: Final answer
    x = 975.99

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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.