Home / 1,547.28-2,135.52-1,023.30

Finding the Fourth Proportional to 1,547.28, 2,135.52 and 1,023.30

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Solution

The fourth proportional to 1,547.28, 2,135.52 and 1,023.30 is: 1,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.28 : 2,135.52 = 1,023.30 : x
  2. Step 2: Convert to fraction form
    1,547.28/2,135.52 = 1,023.30/x
  3. Step 3: Cross multiply
    1,547.28x = 2,135.52 × 1,023.30
  4. Step 4: Simplify right side
    1,547.28x = 2,185,277.62
  5. Step 5: Solve for x
    x = 2,185,277.62/1,547.28
  6. Step 6: Final answer
    x = 1,412.33

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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.