Home / 2,278.47-3,415.05-1,046.01

Finding the Fourth Proportional to 2,278.47, 3,415.05 and 1,046.01

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Solution

The fourth proportional to 2,278.47, 3,415.05 and 1,046.01 is: 1,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.47 : 3,415.05 = 1,046.01 : x
  2. Step 2: Convert to fraction form
    2,278.47/3,415.05 = 1,046.01/x
  3. Step 3: Cross multiply
    2,278.47x = 3,415.05 × 1,046.01
  4. Step 4: Simplify right side
    2,278.47x = 3,572,176.45
  5. Step 5: Solve for x
    x = 3,572,176.45/2,278.47
  6. Step 6: Final answer
    x = 1,567.80

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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.