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Finding the Fourth Proportional to 1,848.48, 2,773.26 and 616.08

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Solution

The fourth proportional to 1,848.48, 2,773.26 and 616.08 is: 924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.48 : 2,773.26 = 616.08 : x
  2. Step 2: Convert to fraction form
    1,848.48/2,773.26 = 616.08/x
  3. Step 3: Cross multiply
    1,848.48x = 2,773.26 × 616.08
  4. Step 4: Simplify right side
    1,848.48x = 1,708,550.02
  5. Step 5: Solve for x
    x = 1,708,550.02/1,848.48
  6. Step 6: Final answer
    x = 924.30

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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.