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Finding the Fourth Proportional to 2,893.76, 4,341.18 and 946.07

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Solution

The fourth proportional to 2,893.76, 4,341.18 and 946.07 is: 1,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.76 : 4,341.18 = 946.07 : x
  2. Step 2: Convert to fraction form
    2,893.76/4,341.18 = 946.07/x
  3. Step 3: Cross multiply
    2,893.76x = 4,341.18 × 946.07
  4. Step 4: Simplify right side
    2,893.76x = 4,107,060.16
  5. Step 5: Solve for x
    x = 4,107,060.16/2,893.76
  6. Step 6: Final answer
    x = 1,419.28

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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.