Home / 2,509.12-3,462.68-1,390.16

Finding the Fourth Proportional to 2,509.12, 3,462.68 and 1,390.16

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Solution

The fourth proportional to 2,509.12, 3,462.68 and 1,390.16 is: 1,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.12 : 3,462.68 = 1,390.16 : x
  2. Step 2: Convert to fraction form
    2,509.12/3,462.68 = 1,390.16/x
  3. Step 3: Cross multiply
    2,509.12x = 3,462.68 × 1,390.16
  4. Step 4: Simplify right side
    2,509.12x = 4,813,679.23
  5. Step 5: Solve for x
    x = 4,813,679.23/2,509.12
  6. Step 6: Final answer
    x = 1,918.47

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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.