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Finding the Fourth Proportional to 2,094.76, 2,890.80 and 1,163.32

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Solution

The fourth proportional to 2,094.76, 2,890.80 and 1,163.32 is: 1,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.76 : 2,890.80 = 1,163.32 : x
  2. Step 2: Convert to fraction form
    2,094.76/2,890.80 = 1,163.32/x
  3. Step 3: Cross multiply
    2,094.76x = 2,890.80 × 1,163.32
  4. Step 4: Simplify right side
    2,094.76x = 3,362,925.46
  5. Step 5: Solve for x
    x = 3,362,925.46/2,094.76
  6. Step 6: Final answer
    x = 1,605.40

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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.