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Finding the Fourth Proportional to 2,465.65, 3,699.39 and 906.67

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Solution

The fourth proportional to 2,465.65, 3,699.39 and 906.67 is: 1,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.65 : 3,699.39 = 906.67 : x
  2. Step 2: Convert to fraction form
    2,465.65/3,699.39 = 906.67/x
  3. Step 3: Cross multiply
    2,465.65x = 3,699.39 × 906.67
  4. Step 4: Simplify right side
    2,465.65x = 3,354,143.77
  5. Step 5: Solve for x
    x = 3,354,143.77/2,465.65
  6. Step 6: Final answer
    x = 1,360.35

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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.