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Finding the Fourth Proportional to 2,740.70, 3,782.50 and 1,562.00

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Solution

The fourth proportional to 2,740.70, 3,782.50 and 1,562.00 is: 2,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.70 : 3,782.50 = 1,562.00 : x
  2. Step 2: Convert to fraction form
    2,740.70/3,782.50 = 1,562.00/x
  3. Step 3: Cross multiply
    2,740.70x = 3,782.50 × 1,562.00
  4. Step 4: Simplify right side
    2,740.70x = 5,908,263.46
  5. Step 5: Solve for x
    x = 5,908,263.46/2,740.70
  6. Step 6: Final answer
    x = 2,155.75

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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.