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Finding the Fourth Proportional to 1,848.50, 2,774.65 and 1,442.08

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Solution

The fourth proportional to 1,848.50, 2,774.65 and 1,442.08 is: 2,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.50 : 2,774.65 = 1,442.08 : x
  2. Step 2: Convert to fraction form
    1,848.50/2,774.65 = 1,442.08/x
  3. Step 3: Cross multiply
    1,848.50x = 2,774.65 × 1,442.08
  4. Step 4: Simplify right side
    1,848.50x = 4,001,267.27
  5. Step 5: Solve for x
    x = 4,001,267.27/1,848.50
  6. Step 6: Final answer
    x = 2,164.60

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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.