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Finding the Fourth Proportional to 1,646.32, 2,467.48 and 916.48

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Solution

The fourth proportional to 1,646.32, 2,467.48 and 916.48 is: 1,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.32 : 2,467.48 = 916.48 : x
  2. Step 2: Convert to fraction form
    1,646.32/2,467.48 = 916.48/x
  3. Step 3: Cross multiply
    1,646.32x = 2,467.48 × 916.48
  4. Step 4: Simplify right side
    1,646.32x = 2,261,396.07
  5. Step 5: Solve for x
    x = 2,261,396.07/1,646.32
  6. Step 6: Final answer
    x = 1,373.61

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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.