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Finding the Fourth Proportional to 2,494.22, 3,741.14 and 1,802.13

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Solution

The fourth proportional to 2,494.22, 3,741.14 and 1,802.13 is: 2,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.22 : 3,741.14 = 1,802.13 : x
  2. Step 2: Convert to fraction form
    2,494.22/3,741.14 = 1,802.13/x
  3. Step 3: Cross multiply
    2,494.22x = 3,741.14 × 1,802.13
  4. Step 4: Simplify right side
    2,494.22x = 6,742,011.62
  5. Step 5: Solve for x
    x = 6,742,011.62/2,494.22
  6. Step 6: Final answer
    x = 2,703.06

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1.5x scale

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.