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Finding the Fourth Proportional to 1,905.64, 2,857.58 and 865.60

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Solution

The fourth proportional to 1,905.64, 2,857.58 and 865.60 is: 1,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.64 : 2,857.58 = 865.60 : x
  2. Step 2: Convert to fraction form
    1,905.64/2,857.58 = 865.60/x
  3. Step 3: Cross multiply
    1,905.64x = 2,857.58 × 865.60
  4. Step 4: Simplify right side
    1,905.64x = 2,473,509.78
  5. Step 5: Solve for x
    x = 2,473,509.78/1,905.64
  6. Step 6: Final answer
    x = 1,298.00

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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.