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Finding the Fourth Proportional to 1,685.24, 2,326.04 and 987.04

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Solution

The fourth proportional to 1,685.24, 2,326.04 and 987.04 is: 1,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.24 : 2,326.04 = 987.04 : x
  2. Step 2: Convert to fraction form
    1,685.24/2,326.04 = 987.04/x
  3. Step 3: Cross multiply
    1,685.24x = 2,326.04 × 987.04
  4. Step 4: Simplify right side
    1,685.24x = 2,295,894.52
  5. Step 5: Solve for x
    x = 2,295,894.52/1,685.24
  6. Step 6: Final answer
    x = 1,362.35

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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.