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Finding the Fourth Proportional to 2,047.40, 2,766.15 and 2,047.40

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Solution

The fourth proportional to 2,047.40, 2,766.15 and 2,047.40 is: 2,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.40 : 2,766.15 = 2,047.40 : x
  2. Step 2: Convert to fraction form
    2,047.40/2,766.15 = 2,047.40/x
  3. Step 3: Cross multiply
    2,047.40x = 2,766.15 × 2,047.40
  4. Step 4: Simplify right side
    2,047.40x = 5,663,415.51
  5. Step 5: Solve for x
    x = 5,663,415.51/2,047.40
  6. Step 6: Final answer
    x = 2,766.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.