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Finding the Fourth Proportional to 3,065.70, 4,598.85 and 1,117.45

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Solution

The fourth proportional to 3,065.70, 4,598.85 and 1,117.45 is: 1,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.70 : 4,598.85 = 1,117.45 : x
  2. Step 2: Convert to fraction form
    3,065.70/4,598.85 = 1,117.45/x
  3. Step 3: Cross multiply
    3,065.70x = 4,598.85 × 1,117.45
  4. Step 4: Simplify right side
    3,065.70x = 5,138,961.94
  5. Step 5: Solve for x
    x = 5,138,961.94/3,065.70
  6. Step 6: Final answer
    x = 1,676.28

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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.