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Finding the Fourth Proportional to 2,357.44, 3,535.06 and 875.63

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Solution

The fourth proportional to 2,357.44, 3,535.06 and 875.63 is: 1,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.44 : 3,535.06 = 875.63 : x
  2. Step 2: Convert to fraction form
    2,357.44/3,535.06 = 875.63/x
  3. Step 3: Cross multiply
    2,357.44x = 3,535.06 × 875.63
  4. Step 4: Simplify right side
    2,357.44x = 3,095,404.59
  5. Step 5: Solve for x
    x = 3,095,404.59/2,357.44
  6. Step 6: Final answer
    x = 1,313.04

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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.