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Finding the Fourth Proportional to 2,393.34, 3,302.55 and 1,461.66

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Solution

The fourth proportional to 2,393.34, 3,302.55 and 1,461.66 is: 2,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.34 : 3,302.55 = 1,461.66 : x
  2. Step 2: Convert to fraction form
    2,393.34/3,302.55 = 1,461.66/x
  3. Step 3: Cross multiply
    2,393.34x = 3,302.55 × 1,461.66
  4. Step 4: Simplify right side
    2,393.34x = 4,827,205.23
  5. Step 5: Solve for x
    x = 4,827,205.23/2,393.34
  6. Step 6: Final answer
    x = 2,016.93

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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.