Home / 1,537.86-2,303.79-1,459.14

Finding the Fourth Proportional to 1,537.86, 2,303.79 and 1,459.14

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Solution

The fourth proportional to 1,537.86, 2,303.79 and 1,459.14 is: 2,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.86 : 2,303.79 = 1,459.14 : x
  2. Step 2: Convert to fraction form
    1,537.86/2,303.79 = 1,459.14/x
  3. Step 3: Cross multiply
    1,537.86x = 2,303.79 × 1,459.14
  4. Step 4: Simplify right side
    1,537.86x = 3,361,552.14
  5. Step 5: Solve for x
    x = 3,361,552.14/1,537.86
  6. Step 6: Final answer
    x = 2,185.86

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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.