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Finding the Fourth Proportional to 1,326.87, 1,827.84 and 1,117.08

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Solution

The fourth proportional to 1,326.87, 1,827.84 and 1,117.08 is: 1,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.87 : 1,827.84 = 1,117.08 : x
  2. Step 2: Convert to fraction form
    1,326.87/1,827.84 = 1,117.08/x
  3. Step 3: Cross multiply
    1,326.87x = 1,827.84 × 1,117.08
  4. Step 4: Simplify right side
    1,326.87x = 2,041,843.51
  5. Step 5: Solve for x
    x = 2,041,843.51/1,326.87
  6. Step 6: Final answer
    x = 1,538.84

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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.