Home / 1,478.97-2,038.50-1,146.06

Finding the Fourth Proportional to 1,478.97, 2,038.50 and 1,146.06

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Solution

The fourth proportional to 1,478.97, 2,038.50 and 1,146.06 is: 1,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.97 : 2,038.50 = 1,146.06 : x
  2. Step 2: Convert to fraction form
    1,478.97/2,038.50 = 1,146.06/x
  3. Step 3: Cross multiply
    1,478.97x = 2,038.50 × 1,146.06
  4. Step 4: Simplify right side
    1,478.97x = 2,336,243.31
  5. Step 5: Solve for x
    x = 2,336,243.31/1,478.97
  6. Step 6: Final answer
    x = 1,579.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.