Home / 1,564.80-2,155.05-1,530.78

Finding the Fourth Proportional to 1,564.80, 2,155.05 and 1,530.78

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Solution

The fourth proportional to 1,564.80, 2,155.05 and 1,530.78 is: 2,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.80 : 2,155.05 = 1,530.78 : x
  2. Step 2: Convert to fraction form
    1,564.80/2,155.05 = 1,530.78/x
  3. Step 3: Cross multiply
    1,564.80x = 2,155.05 × 1,530.78
  4. Step 4: Simplify right side
    1,564.80x = 3,298,907.44
  5. Step 5: Solve for x
    x = 3,298,907.44/1,564.80
  6. Step 6: Final answer
    x = 2,108.20

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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.