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Finding the Fourth Proportional to 1,466.65, 2,188.13 and 1,397.08

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Solution

The fourth proportional to 1,466.65, 2,188.13 and 1,397.08 is: 2,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.65 : 2,188.13 = 1,397.08 : x
  2. Step 2: Convert to fraction form
    1,466.65/2,188.13 = 1,397.08/x
  3. Step 3: Cross multiply
    1,466.65x = 2,188.13 × 1,397.08
  4. Step 4: Simplify right side
    1,466.65x = 3,056,992.66
  5. Step 5: Solve for x
    x = 3,056,992.66/1,466.65
  6. Step 6: Final answer
    x = 2,084.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.