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Finding the Fourth Proportional to 3,315.19, 4,971.52 and 974.70

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Solution

The fourth proportional to 3,315.19, 4,971.52 and 974.70 is: 1,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.19 : 4,971.52 = 974.70 : x
  2. Step 2: Convert to fraction form
    3,315.19/4,971.52 = 974.70/x
  3. Step 3: Cross multiply
    3,315.19x = 4,971.52 × 974.70
  4. Step 4: Simplify right side
    3,315.19x = 4,845,740.54
  5. Step 5: Solve for x
    x = 4,845,740.54/3,315.19
  6. Step 6: Final answer
    x = 1,461.68

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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.