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Finding the Fourth Proportional to 1,354.54, 1,869.54 and 856.94

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Solution

The fourth proportional to 1,354.54, 1,869.54 and 856.94 is: 1,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.54 : 1,869.54 = 856.94 : x
  2. Step 2: Convert to fraction form
    1,354.54/1,869.54 = 856.94/x
  3. Step 3: Cross multiply
    1,354.54x = 1,869.54 × 856.94
  4. Step 4: Simplify right side
    1,354.54x = 1,602,083.61
  5. Step 5: Solve for x
    x = 1,602,083.61/1,354.54
  6. Step 6: Final answer
    x = 1,182.75

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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.