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Finding the Fourth Proportional to 2,357.42, 3,534.75 and 896.68

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Solution

The fourth proportional to 2,357.42, 3,534.75 and 896.68 is: 1,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.42 : 3,534.75 = 896.68 : x
  2. Step 2: Convert to fraction form
    2,357.42/3,534.75 = 896.68/x
  3. Step 3: Cross multiply
    2,357.42x = 3,534.75 × 896.68
  4. Step 4: Simplify right side
    2,357.42x = 3,169,539.63
  5. Step 5: Solve for x
    x = 3,169,539.63/2,357.42
  6. Step 6: Final answer
    x = 1,344.50

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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.