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Finding the Fourth Proportional to 2,376.29, 3,565.72 and 990.58

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Solution

The fourth proportional to 2,376.29, 3,565.72 and 990.58 is: 1,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.29 : 3,565.72 = 990.58 : x
  2. Step 2: Convert to fraction form
    2,376.29/3,565.72 = 990.58/x
  3. Step 3: Cross multiply
    2,376.29x = 3,565.72 × 990.58
  4. Step 4: Simplify right side
    2,376.29x = 3,532,130.92
  5. Step 5: Solve for x
    x = 3,532,130.92/2,376.29
  6. Step 6: Final answer
    x = 1,486.41

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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.