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Finding the Fourth Proportional to 1,563.95, 2,347.03 and 1,154.15

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Solution

The fourth proportional to 1,563.95, 2,347.03 and 1,154.15 is: 1,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.95 : 2,347.03 = 1,154.15 : x
  2. Step 2: Convert to fraction form
    1,563.95/2,347.03 = 1,154.15/x
  3. Step 3: Cross multiply
    1,563.95x = 2,347.03 × 1,154.15
  4. Step 4: Simplify right side
    1,563.95x = 2,708,824.67
  5. Step 5: Solve for x
    x = 2,708,824.67/1,563.95
  6. Step 6: Final answer
    x = 1,732.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.