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Finding the Fourth Proportional to 2,465.64, 3,699.07 and 2,263.14

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Solution

The fourth proportional to 2,465.64, 3,699.07 and 2,263.14 is: 3,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.64 : 3,699.07 = 2,263.14 : x
  2. Step 2: Convert to fraction form
    2,465.64/3,699.07 = 2,263.14/x
  3. Step 3: Cross multiply
    2,465.64x = 3,699.07 × 2,263.14
  4. Step 4: Simplify right side
    2,465.64x = 8,371,507.62
  5. Step 5: Solve for x
    x = 8,371,507.62/2,465.64
  6. Step 6: Final answer
    x = 3,395.27

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1.5x scale

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.