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Finding the Fourth Proportional to 1,848.42, 2,773.07 and 874.02

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Solution

The fourth proportional to 1,848.42, 2,773.07 and 874.02 is: 1,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.42 : 2,773.07 = 874.02 : x
  2. Step 2: Convert to fraction form
    1,848.42/2,773.07 = 874.02/x
  3. Step 3: Cross multiply
    1,848.42x = 2,773.07 × 874.02
  4. Step 4: Simplify right side
    1,848.42x = 2,423,718.64
  5. Step 5: Solve for x
    x = 2,423,718.64/1,848.42
  6. Step 6: Final answer
    x = 1,311.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.