Home / 1,584.34-2,186.24-921.18

Finding the Fourth Proportional to 1,584.34, 2,186.24 and 921.18

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Solution

The fourth proportional to 1,584.34, 2,186.24 and 921.18 is: 1,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.34 : 2,186.24 = 921.18 : x
  2. Step 2: Convert to fraction form
    1,584.34/2,186.24 = 921.18/x
  3. Step 3: Cross multiply
    1,584.34x = 2,186.24 × 921.18
  4. Step 4: Simplify right side
    1,584.34x = 2,013,915.96
  5. Step 5: Solve for x
    x = 2,013,915.96/1,584.34
  6. Step 6: Final answer
    x = 1,271.14

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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.