Home / 1,537.68-2,302.98-1,207.86

Finding the Fourth Proportional to 1,537.68, 2,302.98 and 1,207.86

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Solution

The fourth proportional to 1,537.68, 2,302.98 and 1,207.86 is: 1,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.68 : 2,302.98 = 1,207.86 : x
  2. Step 2: Convert to fraction form
    1,537.68/2,302.98 = 1,207.86/x
  3. Step 3: Cross multiply
    1,537.68x = 2,302.98 × 1,207.86
  4. Step 4: Simplify right side
    1,537.68x = 2,781,677.42
  5. Step 5: Solve for x
    x = 2,781,677.42/1,537.68
  6. Step 6: Final answer
    x = 1,809.01

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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.