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Finding the Fourth Proportional to 2,778.34, 4,165.88 and 1,047.10

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Solution

The fourth proportional to 2,778.34, 4,165.88 and 1,047.10 is: 1,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.34 : 4,165.88 = 1,047.10 : x
  2. Step 2: Convert to fraction form
    2,778.34/4,165.88 = 1,047.10/x
  3. Step 3: Cross multiply
    2,778.34x = 4,165.88 × 1,047.10
  4. Step 4: Simplify right side
    2,778.34x = 4,362,092.95
  5. Step 5: Solve for x
    x = 4,362,092.95/2,778.34
  6. Step 6: Final answer
    x = 1,570.04

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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.