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Finding the Fourth Proportional to 1,746.32, 2,619.18 and 650.39

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Solution

The fourth proportional to 1,746.32, 2,619.18 and 650.39 is: 975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.32 : 2,619.18 = 650.39 : x
  2. Step 2: Convert to fraction form
    1,746.32/2,619.18 = 650.39/x
  3. Step 3: Cross multiply
    1,746.32x = 2,619.18 × 650.39
  4. Step 4: Simplify right side
    1,746.32x = 1,703,475.38
  5. Step 5: Solve for x
    x = 1,703,475.38/1,746.32
  6. Step 6: Final answer
    x = 975.47

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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.