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Finding the Fourth Proportional to 2,360.49, 3,541.61 and 973.95

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Solution

The fourth proportional to 2,360.49, 3,541.61 and 973.95 is: 1,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.49 : 3,541.61 = 973.95 : x
  2. Step 2: Convert to fraction form
    2,360.49/3,541.61 = 973.95/x
  3. Step 3: Cross multiply
    2,360.49x = 3,541.61 × 973.95
  4. Step 4: Simplify right side
    2,360.49x = 3,449,348.80
  5. Step 5: Solve for x
    x = 3,449,348.80/2,360.49
  6. Step 6: Final answer
    x = 1,461.28

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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.