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Finding the Fourth Proportional to 1,802.40, 2,487.24 and 1,212

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Solution

The fourth proportional to 1,802.40, 2,487.24 and 1,212 is: 1,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.40 : 2,487.24 = 1,212 : x
  2. Step 2: Convert to fraction form
    1,802.40/2,487.24 = 1,212/x
  3. Step 3: Cross multiply
    1,802.40x = 2,487.24 × 1,212
  4. Step 4: Simplify right side
    1,802.40x = 3,014,534.88
  5. Step 5: Solve for x
    x = 3,014,534.88/1,802.40
  6. Step 6: Final answer
    x = 1,672.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.