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Finding the Fourth Proportional to 2,376.84, 3,566.88 and 1,403.22

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Solution

The fourth proportional to 2,376.84, 3,566.88 and 1,403.22 is: 2,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.84 : 3,566.88 = 1,403.22 : x
  2. Step 2: Convert to fraction form
    2,376.84/3,566.88 = 1,403.22/x
  3. Step 3: Cross multiply
    2,376.84x = 3,566.88 × 1,403.22
  4. Step 4: Simplify right side
    2,376.84x = 5,005,117.35
  5. Step 5: Solve for x
    x = 5,005,117.35/2,376.84
  6. Step 6: Final answer
    x = 2,105.79

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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.