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Finding the Fourth Proportional to 3,442.84, 4,751.12 and 1,870.94

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Solution

The fourth proportional to 3,442.84, 4,751.12 and 1,870.94 is: 2,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.84 : 4,751.12 = 1,870.94 : x
  2. Step 2: Convert to fraction form
    3,442.84/4,751.12 = 1,870.94/x
  3. Step 3: Cross multiply
    3,442.84x = 4,751.12 × 1,870.94
  4. Step 4: Simplify right side
    3,442.84x = 8,889,060.45
  5. Step 5: Solve for x
    x = 8,889,060.45/3,442.84
  6. Step 6: Final answer
    x = 2,581.90

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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.