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Finding the Fourth Proportional to 1,857.61, 2,563.50 and 1,018.36

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Solution

The fourth proportional to 1,857.61, 2,563.50 and 1,018.36 is: 1,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.61 : 2,563.50 = 1,018.36 : x
  2. Step 2: Convert to fraction form
    1,857.61/2,563.50 = 1,018.36/x
  3. Step 3: Cross multiply
    1,857.61x = 2,563.50 × 1,018.36
  4. Step 4: Simplify right side
    1,857.61x = 2,610,565.86
  5. Step 5: Solve for x
    x = 2,610,565.86/1,857.61
  6. Step 6: Final answer
    x = 1,405.34

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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.