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Finding the Fourth Proportional to 3,038.70, 4,193.76 and 1,712.64

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Solution

The fourth proportional to 3,038.70, 4,193.76 and 1,712.64 is: 2,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.70 : 4,193.76 = 1,712.64 : x
  2. Step 2: Convert to fraction form
    3,038.70/4,193.76 = 1,712.64/x
  3. Step 3: Cross multiply
    3,038.70x = 4,193.76 × 1,712.64
  4. Step 4: Simplify right side
    3,038.70x = 7,182,401.13
  5. Step 5: Solve for x
    x = 7,182,401.13/3,038.70
  6. Step 6: Final answer
    x = 2,363.64

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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.