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Finding the Fourth Proportional to 1,357.12, 1,876.48 and 1,184.32

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Solution

The fourth proportional to 1,357.12, 1,876.48 and 1,184.32 is: 1,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.12 : 1,876.48 = 1,184.32 : x
  2. Step 2: Convert to fraction form
    1,357.12/1,876.48 = 1,184.32/x
  3. Step 3: Cross multiply
    1,357.12x = 1,876.48 × 1,184.32
  4. Step 4: Simplify right side
    1,357.12x = 2,222,352.79
  5. Step 5: Solve for x
    x = 2,222,352.79/1,357.12
  6. Step 6: Final answer
    x = 1,637.55

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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.