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Finding the Fourth Proportional to 2,275.37, 3,412.94 and 941.00

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Solution

The fourth proportional to 2,275.37, 3,412.94 and 941.00 is: 1,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.37 : 3,412.94 = 941.00 : x
  2. Step 2: Convert to fraction form
    2,275.37/3,412.94 = 941.00/x
  3. Step 3: Cross multiply
    2,275.37x = 3,412.94 × 941.00
  4. Step 4: Simplify right side
    2,275.37x = 3,211,554.77
  5. Step 5: Solve for x
    x = 3,211,554.77/2,275.37
  6. Step 6: Final answer
    x = 1,411.45

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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.