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Finding the Fourth Proportional to 1,354.16, 1,869.72 and 889.76

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Solution

The fourth proportional to 1,354.16, 1,869.72 and 889.76 is: 1,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.16 : 1,869.72 = 889.76 : x
  2. Step 2: Convert to fraction form
    1,354.16/1,869.72 = 889.76/x
  3. Step 3: Cross multiply
    1,354.16x = 1,869.72 × 889.76
  4. Step 4: Simplify right side
    1,354.16x = 1,663,602.07
  5. Step 5: Solve for x
    x = 1,663,602.07/1,354.16
  6. Step 6: Final answer
    x = 1,228.51

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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.