Home / 1,642.60-2,453.43-1,412.16

Finding the Fourth Proportional to 1,642.60, 2,453.43 and 1,412.16

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Solution

The fourth proportional to 1,642.60, 2,453.43 and 1,412.16 is: 2,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.60 : 2,453.43 = 1,412.16 : x
  2. Step 2: Convert to fraction form
    1,642.60/2,453.43 = 1,412.16/x
  3. Step 3: Cross multiply
    1,642.60x = 2,453.43 × 1,412.16
  4. Step 4: Simplify right side
    1,642.60x = 3,464,635.71
  5. Step 5: Solve for x
    x = 3,464,635.71/1,642.60
  6. Step 6: Final answer
    x = 2,109.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.