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Finding the Fourth Proportional to 2,393, 3,302.70 and 1,462.04

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Solution

The fourth proportional to 2,393, 3,302.70 and 1,462.04 is: 2,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393 : 3,302.70 = 1,462.04 : x
  2. Step 2: Convert to fraction form
    2,393/3,302.70 = 1,462.04/x
  3. Step 3: Cross multiply
    2,393x = 3,302.70 × 1,462.04
  4. Step 4: Simplify right side
    2,393x = 4,828,679.51
  5. Step 5: Solve for x
    x = 4,828,679.51/2,393
  6. Step 6: Final answer
    x = 2,017.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.