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Finding the Fourth Proportional to 2,357.52, 3,536.12 and 1,316.84

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Solution

The fourth proportional to 2,357.52, 3,536.12 and 1,316.84 is: 1,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.52 : 3,536.12 = 1,316.84 : x
  2. Step 2: Convert to fraction form
    2,357.52/3,536.12 = 1,316.84/x
  3. Step 3: Cross multiply
    2,357.52x = 3,536.12 × 1,316.84
  4. Step 4: Simplify right side
    2,357.52x = 4,656,504.26
  5. Step 5: Solve for x
    x = 4,656,504.26/2,357.52
  6. Step 6: Final answer
    x = 1,975.17

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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.