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Finding the Fourth Proportional to 1,585.03, 2,187.30 and 922.11

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Solution

The fourth proportional to 1,585.03, 2,187.30 and 922.11 is: 1,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.03 : 2,187.30 = 922.11 : x
  2. Step 2: Convert to fraction form
    1,585.03/2,187.30 = 922.11/x
  3. Step 3: Cross multiply
    1,585.03x = 2,187.30 × 922.11
  4. Step 4: Simplify right side
    1,585.03x = 2,016,931.20
  5. Step 5: Solve for x
    x = 2,016,931.20/1,585.03
  6. Step 6: Final answer
    x = 1,272.49

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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.