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Finding the Fourth Proportional to 1,856.64, 2,564.16 and 1,701.12

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Solution

The fourth proportional to 1,856.64, 2,564.16 and 1,701.12 is: 2,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.64 : 2,564.16 = 1,701.12 : x
  2. Step 2: Convert to fraction form
    1,856.64/2,564.16 = 1,701.12/x
  3. Step 3: Cross multiply
    1,856.64x = 2,564.16 × 1,701.12
  4. Step 4: Simplify right side
    1,856.64x = 4,361,943.86
  5. Step 5: Solve for x
    x = 4,361,943.86/1,856.64
  6. Step 6: Final answer
    x = 2,349.38

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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.