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Finding the Fourth Proportional to 2,465.40, 3,697.20 and 1,232.40

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Solution

The fourth proportional to 2,465.40, 3,697.20 and 1,232.40 is: 1,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.40 : 3,697.20 = 1,232.40 : x
  2. Step 2: Convert to fraction form
    2,465.40/3,697.20 = 1,232.40/x
  3. Step 3: Cross multiply
    2,465.40x = 3,697.20 × 1,232.40
  4. Step 4: Simplify right side
    2,465.40x = 4,556,429.28
  5. Step 5: Solve for x
    x = 4,556,429.28/2,465.40
  6. Step 6: Final answer
    x = 1,848.15

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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.