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Finding the Fourth Proportional to 1,584.15, 2,186.36 and 921.03

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Solution

The fourth proportional to 1,584.15, 2,186.36 and 921.03 is: 1,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.15 : 2,186.36 = 921.03 : x
  2. Step 2: Convert to fraction form
    1,584.15/2,186.36 = 921.03/x
  3. Step 3: Cross multiply
    1,584.15x = 2,186.36 × 921.03
  4. Step 4: Simplify right side
    1,584.15x = 2,013,703.15
  5. Step 5: Solve for x
    x = 2,013,703.15/1,584.15
  6. Step 6: Final answer
    x = 1,271.16

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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.