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Finding the Fourth Proportional to 2,948.84, 4,426.52 and 2,492.28

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Solution

The fourth proportional to 2,948.84, 4,426.52 and 2,492.28 is: 3,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.84 : 4,426.52 = 2,492.28 : x
  2. Step 2: Convert to fraction form
    2,948.84/4,426.52 = 2,492.28/x
  3. Step 3: Cross multiply
    2,948.84x = 4,426.52 × 2,492.28
  4. Step 4: Simplify right side
    2,948.84x = 11,032,127.27
  5. Step 5: Solve for x
    x = 11,032,127.27/2,948.84
  6. Step 6: Final answer
    x = 3,741.18

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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.