Home / 1,585.89-2,189.30-1,055.66

Finding the Fourth Proportional to 1,585.89, 2,189.30 and 1,055.66

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Solution

The fourth proportional to 1,585.89, 2,189.30 and 1,055.66 is: 1,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.89 : 2,189.30 = 1,055.66 : x
  2. Step 2: Convert to fraction form
    1,585.89/2,189.30 = 1,055.66/x
  3. Step 3: Cross multiply
    1,585.89x = 2,189.30 × 1,055.66
  4. Step 4: Simplify right side
    1,585.89x = 2,311,140.21
  5. Step 5: Solve for x
    x = 2,311,140.21/1,585.89
  6. Step 6: Final answer
    x = 1,457.31

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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.