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Finding the Fourth Proportional to 1,590.74, 2,387.25 and 1,178.64

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Solution

The fourth proportional to 1,590.74, 2,387.25 and 1,178.64 is: 1,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.74 : 2,387.25 = 1,178.64 : x
  2. Step 2: Convert to fraction form
    1,590.74/2,387.25 = 1,178.64/x
  3. Step 3: Cross multiply
    1,590.74x = 2,387.25 × 1,178.64
  4. Step 4: Simplify right side
    1,590.74x = 2,813,696.40
  5. Step 5: Solve for x
    x = 2,813,696.40/1,590.74
  6. Step 6: Final answer
    x = 1,768.80

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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.