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Finding the Fourth Proportional to 1,848, 2,552.16 and 1,298.88

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Solution

The fourth proportional to 1,848, 2,552.16 and 1,298.88 is: 1,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848 : 2,552.16 = 1,298.88 : x
  2. Step 2: Convert to fraction form
    1,848/2,552.16 = 1,298.88/x
  3. Step 3: Cross multiply
    1,848x = 2,552.16 × 1,298.88
  4. Step 4: Simplify right side
    1,848x = 3,314,949.58
  5. Step 5: Solve for x
    x = 3,314,949.58/1,848
  6. Step 6: Final answer
    x = 1,793.80

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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.