Home / 1,528.51-2,109.60-865.75

Finding the Fourth Proportional to 1,528.51, 2,109.60 and 865.75

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Solution

The fourth proportional to 1,528.51, 2,109.60 and 865.75 is: 1,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.51 : 2,109.60 = 865.75 : x
  2. Step 2: Convert to fraction form
    1,528.51/2,109.60 = 865.75/x
  3. Step 3: Cross multiply
    1,528.51x = 2,109.60 × 865.75
  4. Step 4: Simplify right side
    1,528.51x = 1,826,386.20
  5. Step 5: Solve for x
    x = 1,826,386.20/1,528.51
  6. Step 6: Final answer
    x = 1,194.88

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1.5x scale

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.