Home / 1,646.85-2,272.55-948.23

Finding the Fourth Proportional to 1,646.85, 2,272.55 and 948.23

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Solution

The fourth proportional to 1,646.85, 2,272.55 and 948.23 is: 1,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.85 : 2,272.55 = 948.23 : x
  2. Step 2: Convert to fraction form
    1,646.85/2,272.55 = 948.23/x
  3. Step 3: Cross multiply
    1,646.85x = 2,272.55 × 948.23
  4. Step 4: Simplify right side
    1,646.85x = 2,154,883.98
  5. Step 5: Solve for x
    x = 2,154,883.98/1,646.85
  6. Step 6: Final answer
    x = 1,308.49

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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.