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Finding the Fourth Proportional to 2,123.78, 2,927.72 and 1,492.41

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Solution

The fourth proportional to 2,123.78, 2,927.72 and 1,492.41 is: 2,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.78 : 2,927.72 = 1,492.41 : x
  2. Step 2: Convert to fraction form
    2,123.78/2,927.72 = 1,492.41/x
  3. Step 3: Cross multiply
    2,123.78x = 2,927.72 × 1,492.41
  4. Step 4: Simplify right side
    2,123.78x = 4,369,351.14
  5. Step 5: Solve for x
    x = 4,369,351.14/2,123.78
  6. Step 6: Final answer
    x = 2,057.35

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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.