Home / 1,827.60-2,742.06-595.02

Finding the Fourth Proportional to 1,827.60, 2,742.06 and 595.02

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Solution

The fourth proportional to 1,827.60, 2,742.06 and 595.02 is: 892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.60 : 2,742.06 = 595.02 : x
  2. Step 2: Convert to fraction form
    1,827.60/2,742.06 = 595.02/x
  3. Step 3: Cross multiply
    1,827.60x = 2,742.06 × 595.02
  4. Step 4: Simplify right side
    1,827.60x = 1,631,580.54
  5. Step 5: Solve for x
    x = 1,631,580.54/1,827.60
  6. Step 6: Final answer
    x = 892.74

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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.