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Finding the Fourth Proportional to 2,326.32, 3,505.47 and 1,924.46

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Solution

The fourth proportional to 2,326.32, 3,505.47 and 1,924.46 is: 2,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.32 : 3,505.47 = 1,924.46 : x
  2. Step 2: Convert to fraction form
    2,326.32/3,505.47 = 1,924.46/x
  3. Step 3: Cross multiply
    2,326.32x = 3,505.47 × 1,924.46
  4. Step 4: Simplify right side
    2,326.32x = 6,746,136.80
  5. Step 5: Solve for x
    x = 6,746,136.80/2,326.32
  6. Step 6: Final answer
    x = 2,899.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.