Home / 2,102.60-3,154.23-716.01

Finding the Fourth Proportional to 2,102.60, 3,154.23 and 716.01

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Solution

The fourth proportional to 2,102.60, 3,154.23 and 716.01 is: 1,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.60 : 3,154.23 = 716.01 : x
  2. Step 2: Convert to fraction form
    2,102.60/3,154.23 = 716.01/x
  3. Step 3: Cross multiply
    2,102.60x = 3,154.23 × 716.01
  4. Step 4: Simplify right side
    2,102.60x = 2,258,460.22
  5. Step 5: Solve for x
    x = 2,258,460.22/2,102.60
  6. Step 6: Final answer
    x = 1,074.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.