Home / 1,598.12-2,206.40-1,009.52

Finding the Fourth Proportional to 1,598.12, 2,206.40 and 1,009.52

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Solution

The fourth proportional to 1,598.12, 2,206.40 and 1,009.52 is: 1,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.12 : 2,206.40 = 1,009.52 : x
  2. Step 2: Convert to fraction form
    1,598.12/2,206.40 = 1,009.52/x
  3. Step 3: Cross multiply
    1,598.12x = 2,206.40 × 1,009.52
  4. Step 4: Simplify right side
    1,598.12x = 2,227,404.93
  5. Step 5: Solve for x
    x = 2,227,404.93/1,598.12
  6. Step 6: Final answer
    x = 1,393.77

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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.