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Finding the Fourth Proportional to 1,585.16, 2,186.98 and 921.47

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Solution

The fourth proportional to 1,585.16, 2,186.98 and 921.47 is: 1,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.16 : 2,186.98 = 921.47 : x
  2. Step 2: Convert to fraction form
    1,585.16/2,186.98 = 921.47/x
  3. Step 3: Cross multiply
    1,585.16x = 2,186.98 × 921.47
  4. Step 4: Simplify right side
    1,585.16x = 2,015,226.68
  5. Step 5: Solve for x
    x = 2,015,226.68/1,585.16
  6. Step 6: Final answer
    x = 1,271.31

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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.