Home / 1,564.80-2,159.10-1,191.12

Finding the Fourth Proportional to 1,564.80, 2,159.10 and 1,191.12

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Solution

The fourth proportional to 1,564.80, 2,159.10 and 1,191.12 is: 1,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.80 : 2,159.10 = 1,191.12 : x
  2. Step 2: Convert to fraction form
    1,564.80/2,159.10 = 1,191.12/x
  3. Step 3: Cross multiply
    1,564.80x = 2,159.10 × 1,191.12
  4. Step 4: Simplify right side
    1,564.80x = 2,571,747.19
  5. Step 5: Solve for x
    x = 2,571,747.19/1,564.80
  6. Step 6: Final answer
    x = 1,643.50

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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.