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Finding the Fourth Proportional to 4,582.74, 6,875.34 and 1,661.49

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Solution

The fourth proportional to 4,582.74, 6,875.34 and 1,661.49 is: 2,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.74 : 6,875.34 = 1,661.49 : x
  2. Step 2: Convert to fraction form
    4,582.74/6,875.34 = 1,661.49/x
  3. Step 3: Cross multiply
    4,582.74x = 6,875.34 × 1,661.49
  4. Step 4: Simplify right side
    4,582.74x = 11,423,308.66
  5. Step 5: Solve for x
    x = 11,423,308.66/4,582.74
  6. Step 6: Final answer
    x = 2,492.68

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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.