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Finding the Fourth Proportional to 1,584.65, 2,186.66 and 921.46

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Solution

The fourth proportional to 1,584.65, 2,186.66 and 921.46 is: 1,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.65 : 2,186.66 = 921.46 : x
  2. Step 2: Convert to fraction form
    1,584.65/2,186.66 = 921.46/x
  3. Step 3: Cross multiply
    1,584.65x = 2,186.66 × 921.46
  4. Step 4: Simplify right side
    1,584.65x = 2,014,919.72
  5. Step 5: Solve for x
    x = 2,014,919.72/1,584.65
  6. Step 6: Final answer
    x = 1,271.52

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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.