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Finding the Fourth Proportional to 2,688.34, 4,032.51 and 741.10

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Solution

The fourth proportional to 2,688.34, 4,032.51 and 741.10 is: 1,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.34 : 4,032.51 = 741.10 : x
  2. Step 2: Convert to fraction form
    2,688.34/4,032.51 = 741.10/x
  3. Step 3: Cross multiply
    2,688.34x = 4,032.51 × 741.10
  4. Step 4: Simplify right side
    2,688.34x = 2,988,493.16
  5. Step 5: Solve for x
    x = 2,988,493.16/2,688.34
  6. Step 6: Final answer
    x = 1,111.65

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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.