Home / 1,506.64-2,259.60-581.86

Finding the Fourth Proportional to 1,506.64, 2,259.60 and 581.86

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Solution

The fourth proportional to 1,506.64, 2,259.60 and 581.86 is: 872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.64 : 2,259.60 = 581.86 : x
  2. Step 2: Convert to fraction form
    1,506.64/2,259.60 = 581.86/x
  3. Step 3: Cross multiply
    1,506.64x = 2,259.60 × 581.86
  4. Step 4: Simplify right side
    1,506.64x = 1,314,770.86
  5. Step 5: Solve for x
    x = 1,314,770.86/1,506.64
  6. Step 6: Final answer
    x = 872.65

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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.