Home / 2,823.14-3,895.63-1,564.06

Finding the Fourth Proportional to 2,823.14, 3,895.63 and 1,564.06

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Solution

The fourth proportional to 2,823.14, 3,895.63 and 1,564.06 is: 2,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.14 : 3,895.63 = 1,564.06 : x
  2. Step 2: Convert to fraction form
    2,823.14/3,895.63 = 1,564.06/x
  3. Step 3: Cross multiply
    2,823.14x = 3,895.63 × 1,564.06
  4. Step 4: Simplify right side
    2,823.14x = 6,092,999.06
  5. Step 5: Solve for x
    x = 6,092,999.06/2,823.14
  6. Step 6: Final answer
    x = 2,158.23

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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.