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Finding the Fourth Proportional to 2,338.58, 3,507.86 and 583.58

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Solution

The fourth proportional to 2,338.58, 3,507.86 and 583.58 is: 875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.58 : 3,507.86 = 583.58 : x
  2. Step 2: Convert to fraction form
    2,338.58/3,507.86 = 583.58/x
  3. Step 3: Cross multiply
    2,338.58x = 3,507.86 × 583.58
  4. Step 4: Simplify right side
    2,338.58x = 2,047,099.40
  5. Step 5: Solve for x
    x = 2,047,099.40/2,338.58
  6. Step 6: Final answer
    x = 875.36

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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.