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Finding the Fourth Proportional to 1,354.10, 1,866.78 and 856.49

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Solution

The fourth proportional to 1,354.10, 1,866.78 and 856.49 is: 1,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.10 : 1,866.78 = 856.49 : x
  2. Step 2: Convert to fraction form
    1,354.10/1,866.78 = 856.49/x
  3. Step 3: Cross multiply
    1,354.10x = 1,866.78 × 856.49
  4. Step 4: Simplify right side
    1,354.10x = 1,598,869.07
  5. Step 5: Solve for x
    x = 1,598,869.07/1,354.10
  6. Step 6: Final answer
    x = 1,180.77

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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.