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Finding the Fourth Proportional to 2,461.40, 3,397.62 and 1,466.66

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Solution

The fourth proportional to 2,461.40, 3,397.62 and 1,466.66 is: 2,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.40 : 3,397.62 = 1,466.66 : x
  2. Step 2: Convert to fraction form
    2,461.40/3,397.62 = 1,466.66/x
  3. Step 3: Cross multiply
    2,461.40x = 3,397.62 × 1,466.66
  4. Step 4: Simplify right side
    2,461.40x = 4,983,153.35
  5. Step 5: Solve for x
    x = 4,983,153.35/2,461.40
  6. Step 6: Final answer
    x = 2,024.52

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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.