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Finding the Fourth Proportional to 2,465.53, 3,698.34 and 734.16

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Solution

The fourth proportional to 2,465.53, 3,698.34 and 734.16 is: 1,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.53 : 3,698.34 = 734.16 : x
  2. Step 2: Convert to fraction form
    2,465.53/3,698.34 = 734.16/x
  3. Step 3: Cross multiply
    2,465.53x = 3,698.34 × 734.16
  4. Step 4: Simplify right side
    2,465.53x = 2,715,173.29
  5. Step 5: Solve for x
    x = 2,715,173.29/2,465.53
  6. Step 6: Final answer
    x = 1,101.25

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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.