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Finding the Fourth Proportional to 2,894.42, 4,342.08 and 946.16

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Solution

The fourth proportional to 2,894.42, 4,342.08 and 946.16 is: 1,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.42 : 4,342.08 = 946.16 : x
  2. Step 2: Convert to fraction form
    2,894.42/4,342.08 = 946.16/x
  3. Step 3: Cross multiply
    2,894.42x = 4,342.08 × 946.16
  4. Step 4: Simplify right side
    2,894.42x = 4,108,302.41
  5. Step 5: Solve for x
    x = 4,108,302.41/2,894.42
  6. Step 6: Final answer
    x = 1,419.39

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1.5x scale

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.