Home / 1,564.44-2,159.22-1,117.52

Finding the Fourth Proportional to 1,564.44, 2,159.22 and 1,117.52

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Solution

The fourth proportional to 1,564.44, 2,159.22 and 1,117.52 is: 1,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.44 : 2,159.22 = 1,117.52 : x
  2. Step 2: Convert to fraction form
    1,564.44/2,159.22 = 1,117.52/x
  3. Step 3: Cross multiply
    1,564.44x = 2,159.22 × 1,117.52
  4. Step 4: Simplify right side
    1,564.44x = 2,412,971.53
  5. Step 5: Solve for x
    x = 2,412,971.53/1,564.44
  6. Step 6: Final answer
    x = 1,542.39

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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.