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Finding the Fourth Proportional to 2,465.45, 3,402 and 1,627.77

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Solution

The fourth proportional to 2,465.45, 3,402 and 1,627.77 is: 2,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.45 : 3,402 = 1,627.77 : x
  2. Step 2: Convert to fraction form
    2,465.45/3,402 = 1,627.77/x
  3. Step 3: Cross multiply
    2,465.45x = 3,402 × 1,627.77
  4. Step 4: Simplify right side
    2,465.45x = 5,537,673.54
  5. Step 5: Solve for x
    x = 5,537,673.54/2,465.45
  6. Step 6: Final answer
    x = 2,246.12

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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.