Home / 1,528.40-2,109.08-865.32

Finding the Fourth Proportional to 1,528.40, 2,109.08 and 865.32

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Solution

The fourth proportional to 1,528.40, 2,109.08 and 865.32 is: 1,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.40 : 2,109.08 = 865.32 : x
  2. Step 2: Convert to fraction form
    1,528.40/2,109.08 = 865.32/x
  3. Step 3: Cross multiply
    1,528.40x = 2,109.08 × 865.32
  4. Step 4: Simplify right side
    1,528.40x = 1,825,029.11
  5. Step 5: Solve for x
    x = 1,825,029.11/1,528.40
  6. Step 6: Final answer
    x = 1,194.08

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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.