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Finding the Fourth Proportional to 3,066.24, 4,595.24 and 1,677.50

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Solution

The fourth proportional to 3,066.24, 4,595.24 and 1,677.50 is: 2,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.24 : 4,595.24 = 1,677.50 : x
  2. Step 2: Convert to fraction form
    3,066.24/4,595.24 = 1,677.50/x
  3. Step 3: Cross multiply
    3,066.24x = 4,595.24 × 1,677.50
  4. Step 4: Simplify right side
    3,066.24x = 7,708,483.74
  5. Step 5: Solve for x
    x = 7,708,483.74/3,066.24
  6. Step 6: Final answer
    x = 2,513.99

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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.