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Finding the Fourth Proportional to 1,857.96, 2,565 and 1,269.36

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Solution

The fourth proportional to 1,857.96, 2,565 and 1,269.36 is: 1,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.96 : 2,565 = 1,269.36 : x
  2. Step 2: Convert to fraction form
    1,857.96/2,565 = 1,269.36/x
  3. Step 3: Cross multiply
    1,857.96x = 2,565 × 1,269.36
  4. Step 4: Simplify right side
    1,857.96x = 3,255,908.40
  5. Step 5: Solve for x
    x = 3,255,908.40/1,857.96
  6. Step 6: Final answer
    x = 1,752.41

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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.