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Finding the Fourth Proportional to 1,857.39, 2,784.26 and 884.18

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Solution

The fourth proportional to 1,857.39, 2,784.26 and 884.18 is: 1,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.39 : 2,784.26 = 884.18 : x
  2. Step 2: Convert to fraction form
    1,857.39/2,784.26 = 884.18/x
  3. Step 3: Cross multiply
    1,857.39x = 2,784.26 × 884.18
  4. Step 4: Simplify right side
    1,857.39x = 2,461,787.01
  5. Step 5: Solve for x
    x = 2,461,787.01/1,857.39
  6. Step 6: Final answer
    x = 1,325.40

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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.