Home / 2,031-2,804.40-1,588.14

Finding the Fourth Proportional to 2,031, 2,804.40 and 1,588.14

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Solution

The fourth proportional to 2,031, 2,804.40 and 1,588.14 is: 2,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031 : 2,804.40 = 1,588.14 : x
  2. Step 2: Convert to fraction form
    2,031/2,804.40 = 1,588.14/x
  3. Step 3: Cross multiply
    2,031x = 2,804.40 × 1,588.14
  4. Step 4: Simplify right side
    2,031x = 4,453,779.82
  5. Step 5: Solve for x
    x = 4,453,779.82/2,031
  6. Step 6: Final answer
    x = 2,192.90

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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.