Home / 1,564.09-2,343.94-1,215.84

Finding the Fourth Proportional to 1,564.09, 2,343.94 and 1,215.84

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Solution

The fourth proportional to 1,564.09, 2,343.94 and 1,215.84 is: 1,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.09 : 2,343.94 = 1,215.84 : x
  2. Step 2: Convert to fraction form
    1,564.09/2,343.94 = 1,215.84/x
  3. Step 3: Cross multiply
    1,564.09x = 2,343.94 × 1,215.84
  4. Step 4: Simplify right side
    1,564.09x = 2,849,856.01
  5. Step 5: Solve for x
    x = 2,849,856.01/1,564.09
  6. Step 6: Final answer
    x = 1,822.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.