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Finding the Fourth Proportional to 2,078, 3,117.12 and 1,038.26

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Solution

The fourth proportional to 2,078, 3,117.12 and 1,038.26 is: 1,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078 : 3,117.12 = 1,038.26 : x
  2. Step 2: Convert to fraction form
    2,078/3,117.12 = 1,038.26/x
  3. Step 3: Cross multiply
    2,078x = 3,117.12 × 1,038.26
  4. Step 4: Simplify right side
    2,078x = 3,236,381.01
  5. Step 5: Solve for x
    x = 3,236,381.01/2,078
  6. Step 6: Final answer
    x = 1,557.45

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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.