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Finding the Fourth Proportional to 2,894.42, 4,342.32 and 946.62

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Solution

The fourth proportional to 2,894.42, 4,342.32 and 946.62 is: 1,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.42 : 4,342.32 = 946.62 : x
  2. Step 2: Convert to fraction form
    2,894.42/4,342.32 = 946.62/x
  3. Step 3: Cross multiply
    2,894.42x = 4,342.32 × 946.62
  4. Step 4: Simplify right side
    2,894.42x = 4,110,526.96
  5. Step 5: Solve for x
    x = 4,110,526.96/2,894.42
  6. Step 6: Final answer
    x = 1,420.16

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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.