Home / 2,564.77-3,538.23-1,569.65

Finding the Fourth Proportional to 2,564.77, 3,538.23 and 1,569.65

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Solution

The fourth proportional to 2,564.77, 3,538.23 and 1,569.65 is: 2,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.77 : 3,538.23 = 1,569.65 : x
  2. Step 2: Convert to fraction form
    2,564.77/3,538.23 = 1,569.65/x
  3. Step 3: Cross multiply
    2,564.77x = 3,538.23 × 1,569.65
  4. Step 4: Simplify right side
    2,564.77x = 5,553,774.87
  5. Step 5: Solve for x
    x = 5,553,774.87/2,564.77
  6. Step 6: Final answer
    x = 2,165.41

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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.