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Finding the Fourth Proportional to 2,492.84, 3,740.28 and 1,106.48

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Solution

The fourth proportional to 2,492.84, 3,740.28 and 1,106.48 is: 1,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.84 : 3,740.28 = 1,106.48 : x
  2. Step 2: Convert to fraction form
    2,492.84/3,740.28 = 1,106.48/x
  3. Step 3: Cross multiply
    2,492.84x = 3,740.28 × 1,106.48
  4. Step 4: Simplify right side
    2,492.84x = 4,138,545.01
  5. Step 5: Solve for x
    x = 4,138,545.01/2,492.84
  6. Step 6: Final answer
    x = 1,660.17

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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.