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Finding the Fourth Proportional to 2,812.34, 4,219.04 and 1,407.51

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Solution

The fourth proportional to 2,812.34, 4,219.04 and 1,407.51 is: 2,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.34 : 4,219.04 = 1,407.51 : x
  2. Step 2: Convert to fraction form
    2,812.34/4,219.04 = 1,407.51/x
  3. Step 3: Cross multiply
    2,812.34x = 4,219.04 × 1,407.51
  4. Step 4: Simplify right side
    2,812.34x = 5,938,344.51
  5. Step 5: Solve for x
    x = 5,938,344.51/2,812.34
  6. Step 6: Final answer
    x = 2,111.53

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