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Finding the Fourth Proportional to 2,605.90, 3,909.58 and 1,047.00

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Solution

The fourth proportional to 2,605.90, 3,909.58 and 1,047.00 is: 1,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.90 : 3,909.58 = 1,047.00 : x
  2. Step 2: Convert to fraction form
    2,605.90/3,909.58 = 1,047.00/x
  3. Step 3: Cross multiply
    2,605.90x = 3,909.58 × 1,047.00
  4. Step 4: Simplify right side
    2,605.90x = 4,093,309.32
  5. Step 5: Solve for x
    x = 4,093,309.32/2,605.90
  6. Step 6: Final answer
    x = 1,570.79

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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.