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Finding the Fourth Proportional to 1,885.42, 2,601.90 and 1,046.08

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Solution

The fourth proportional to 1,885.42, 2,601.90 and 1,046.08 is: 1,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.42 : 2,601.90 = 1,046.08 : x
  2. Step 2: Convert to fraction form
    1,885.42/2,601.90 = 1,046.08/x
  3. Step 3: Cross multiply
    1,885.42x = 2,601.90 × 1,046.08
  4. Step 4: Simplify right side
    1,885.42x = 2,721,795.55
  5. Step 5: Solve for x
    x = 2,721,795.55/1,885.42
  6. Step 6: Final answer
    x = 1,443.60

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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.