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Finding the Fourth Proportional to 1,755.95, 2,423.23 and 970.00

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Solution

The fourth proportional to 1,755.95, 2,423.23 and 970.00 is: 1,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.95 : 2,423.23 = 970.00 : x
  2. Step 2: Convert to fraction form
    1,755.95/2,423.23 = 970.00/x
  3. Step 3: Cross multiply
    1,755.95x = 2,423.23 × 970.00
  4. Step 4: Simplify right side
    1,755.95x = 2,350,522.57
  5. Step 5: Solve for x
    x = 2,350,522.57/1,755.95
  6. Step 6: Final answer
    x = 1,338.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.