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Finding the Fourth Proportional to 2,322.86, 3,484.65 and 783.50

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Solution

The fourth proportional to 2,322.86, 3,484.65 and 783.50 is: 1,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.86 : 3,484.65 = 783.50 : x
  2. Step 2: Convert to fraction form
    2,322.86/3,484.65 = 783.50/x
  3. Step 3: Cross multiply
    2,322.86x = 3,484.65 × 783.50
  4. Step 4: Simplify right side
    2,322.86x = 2,730,223.28
  5. Step 5: Solve for x
    x = 2,730,223.28/2,322.86
  6. Step 6: Final answer
    x = 1,175.37

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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.