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Finding the Fourth Proportional to 3,314.74, 4,971.95 and 974.65

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Solution

The fourth proportional to 3,314.74, 4,971.95 and 974.65 is: 1,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.74 : 4,971.95 = 974.65 : x
  2. Step 2: Convert to fraction form
    3,314.74/4,971.95 = 974.65/x
  3. Step 3: Cross multiply
    3,314.74x = 4,971.95 × 974.65
  4. Step 4: Simplify right side
    3,314.74x = 4,845,911.07
  5. Step 5: Solve for x
    x = 4,845,911.07/3,314.74
  6. Step 6: Final answer
    x = 1,461.93

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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.