Home / 1,564.68-2,159.40-1,170.96

Finding the Fourth Proportional to 1,564.68, 2,159.40 and 1,170.96

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Solution

The fourth proportional to 1,564.68, 2,159.40 and 1,170.96 is: 1,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.68 : 2,159.40 = 1,170.96 : x
  2. Step 2: Convert to fraction form
    1,564.68/2,159.40 = 1,170.96/x
  3. Step 3: Cross multiply
    1,564.68x = 2,159.40 × 1,170.96
  4. Step 4: Simplify right side
    1,564.68x = 2,528,571.02
  5. Step 5: Solve for x
    x = 2,528,571.02/1,564.68
  6. Step 6: Final answer
    x = 1,616.03

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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.