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Finding the Fourth Proportional to 1,478.96, 2,038.20 and 1,064.24

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Solution

The fourth proportional to 1,478.96, 2,038.20 and 1,064.24 is: 1,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.96 : 2,038.20 = 1,064.24 : x
  2. Step 2: Convert to fraction form
    1,478.96/2,038.20 = 1,064.24/x
  3. Step 3: Cross multiply
    1,478.96x = 2,038.20 × 1,064.24
  4. Step 4: Simplify right side
    1,478.96x = 2,169,133.97
  5. Step 5: Solve for x
    x = 2,169,133.97/1,478.96
  6. Step 6: Final answer
    x = 1,466.66

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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.