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Finding the Fourth Proportional to 2,038.52, 2,813.18 and 1,154.30

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Solution

The fourth proportional to 2,038.52, 2,813.18 and 1,154.30 is: 1,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.52 : 2,813.18 = 1,154.30 : x
  2. Step 2: Convert to fraction form
    2,038.52/2,813.18 = 1,154.30/x
  3. Step 3: Cross multiply
    2,038.52x = 2,813.18 × 1,154.30
  4. Step 4: Simplify right side
    2,038.52x = 3,247,256.15
  5. Step 5: Solve for x
    x = 3,247,256.15/2,038.52
  6. Step 6: Final answer
    x = 1,592.95

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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.