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Finding the Fourth Proportional to 1,208.59, 1,804.67 and 1,140.15

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Solution

The fourth proportional to 1,208.59, 1,804.67 and 1,140.15 is: 1,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.59 : 1,804.67 = 1,140.15 : x
  2. Step 2: Convert to fraction form
    1,208.59/1,804.67 = 1,140.15/x
  3. Step 3: Cross multiply
    1,208.59x = 1,804.67 × 1,140.15
  4. Step 4: Simplify right side
    1,208.59x = 2,057,585.48
  5. Step 5: Solve for x
    x = 2,057,585.48/1,208.59
  6. Step 6: Final answer
    x = 1,702.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.