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Finding the Fourth Proportional to 3,442.35, 4,750.41 and 1,870.45

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Solution

The fourth proportional to 3,442.35, 4,750.41 and 1,870.45 is: 2,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.35 : 4,750.41 = 1,870.45 : x
  2. Step 2: Convert to fraction form
    3,442.35/4,750.41 = 1,870.45/x
  3. Step 3: Cross multiply
    3,442.35x = 4,750.41 × 1,870.45
  4. Step 4: Simplify right side
    3,442.35x = 8,885,404.38
  5. Step 5: Solve for x
    x = 8,885,404.38/3,442.35
  6. Step 6: Final answer
    x = 2,581.20

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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.