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Finding the Fourth Proportional to 1,466.56, 2,026.40 and 1,414.02

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Solution

The fourth proportional to 1,466.56, 2,026.40 and 1,414.02 is: 1,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.56 : 2,026.40 = 1,414.02 : x
  2. Step 2: Convert to fraction form
    1,466.56/2,026.40 = 1,414.02/x
  3. Step 3: Cross multiply
    1,466.56x = 2,026.40 × 1,414.02
  4. Step 4: Simplify right side
    1,466.56x = 2,865,370.13
  5. Step 5: Solve for x
    x = 2,865,370.13/1,466.56
  6. Step 6: Final answer
    x = 1,953.80

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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.