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Finding the Fourth Proportional to 1,948.70, 2,689.10 and 1,109.30

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Solution

The fourth proportional to 1,948.70, 2,689.10 and 1,109.30 is: 1,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.70 : 2,689.10 = 1,109.30 : x
  2. Step 2: Convert to fraction form
    1,948.70/2,689.10 = 1,109.30/x
  3. Step 3: Cross multiply
    1,948.70x = 2,689.10 × 1,109.30
  4. Step 4: Simplify right side
    1,948.70x = 2,983,018.63
  5. Step 5: Solve for x
    x = 2,983,018.63/1,948.70
  6. Step 6: Final answer
    x = 1,530.77

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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.