Home / 1,509.18-2,081.75-920.06

Finding the Fourth Proportional to 1,509.18, 2,081.75 and 920.06

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Solution

The fourth proportional to 1,509.18, 2,081.75 and 920.06 is: 1,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.18 : 2,081.75 = 920.06 : x
  2. Step 2: Convert to fraction form
    1,509.18/2,081.75 = 920.06/x
  3. Step 3: Cross multiply
    1,509.18x = 2,081.75 × 920.06
  4. Step 4: Simplify right side
    1,509.18x = 1,915,332.88
  5. Step 5: Solve for x
    x = 1,915,332.88/1,509.18
  6. Step 6: Final answer
    x = 1,269.12

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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.