Home / 1,586.13-2,189.34-1,026.63

Finding the Fourth Proportional to 1,586.13, 2,189.34 and 1,026.63

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Solution

The fourth proportional to 1,586.13, 2,189.34 and 1,026.63 is: 1,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.13 : 2,189.34 = 1,026.63 : x
  2. Step 2: Convert to fraction form
    1,586.13/2,189.34 = 1,026.63/x
  3. Step 3: Cross multiply
    1,586.13x = 2,189.34 × 1,026.63
  4. Step 4: Simplify right side
    1,586.13x = 2,247,642.12
  5. Step 5: Solve for x
    x = 2,247,642.12/1,586.13
  6. Step 6: Final answer
    x = 1,417.06

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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.