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Finding the Fourth Proportional to 1,594.76, 2,203.62 and 1,248.08

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Solution

The fourth proportional to 1,594.76, 2,203.62 and 1,248.08 is: 1,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.76 : 2,203.62 = 1,248.08 : x
  2. Step 2: Convert to fraction form
    1,594.76/2,203.62 = 1,248.08/x
  3. Step 3: Cross multiply
    1,594.76x = 2,203.62 × 1,248.08
  4. Step 4: Simplify right side
    1,594.76x = 2,750,294.05
  5. Step 5: Solve for x
    x = 2,750,294.05/1,594.76
  6. Step 6: Final answer
    x = 1,724.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.