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Finding the Fourth Proportional to 3,478.64, 4,798.89 and 2,284.89

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Solution

The fourth proportional to 3,478.64, 4,798.89 and 2,284.89 is: 3,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.64 : 4,798.89 = 2,284.89 : x
  2. Step 2: Convert to fraction form
    3,478.64/4,798.89 = 2,284.89/x
  3. Step 3: Cross multiply
    3,478.64x = 4,798.89 × 2,284.89
  4. Step 4: Simplify right side
    3,478.64x = 10,964,935.77
  5. Step 5: Solve for x
    x = 10,964,935.77/3,478.64
  6. Step 6: Final answer
    x = 3,152.08

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1.5x scale

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.