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Finding the Fourth Proportional to 2,461.93, 3,397.66 and 1,400.03

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Solution

The fourth proportional to 2,461.93, 3,397.66 and 1,400.03 is: 1,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.93 : 3,397.66 = 1,400.03 : x
  2. Step 2: Convert to fraction form
    2,461.93/3,397.66 = 1,400.03/x
  3. Step 3: Cross multiply
    2,461.93x = 3,397.66 × 1,400.03
  4. Step 4: Simplify right side
    2,461.93x = 4,756,808.94
  5. Step 5: Solve for x
    x = 4,756,808.94/2,461.93
  6. Step 6: Final answer
    x = 1,932.15

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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.