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Finding the Fourth Proportional to 2,938.42, 4,055.00 and 1,612.13

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Solution

The fourth proportional to 2,938.42, 4,055.00 and 1,612.13 is: 2,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.42 : 4,055.00 = 1,612.13 : x
  2. Step 2: Convert to fraction form
    2,938.42/4,055.00 = 1,612.13/x
  3. Step 3: Cross multiply
    2,938.42x = 4,055.00 × 1,612.13
  4. Step 4: Simplify right side
    2,938.42x = 6,537,158.81
  5. Step 5: Solve for x
    x = 6,537,158.81/2,938.42
  6. Step 6: Final answer
    x = 2,224.72

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Why These Related Problems?

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