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Finding the Fourth Proportional to 1,541.84, 2,127.80 and 1,188.14

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Solution

The fourth proportional to 1,541.84, 2,127.80 and 1,188.14 is: 1,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.84 : 2,127.80 = 1,188.14 : x
  2. Step 2: Convert to fraction form
    1,541.84/2,127.80 = 1,188.14/x
  3. Step 3: Cross multiply
    1,541.84x = 2,127.80 × 1,188.14
  4. Step 4: Simplify right side
    1,541.84x = 2,528,116.62
  5. Step 5: Solve for x
    x = 2,528,116.62/1,541.84
  6. Step 6: Final answer
    x = 1,639.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.