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Finding the Fourth Proportional to 2,355, 3,530.94 and 1,038.76

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Solution

The fourth proportional to 2,355, 3,530.94 and 1,038.76 is: 1,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355 : 3,530.94 = 1,038.76 : x
  2. Step 2: Convert to fraction form
    2,355/3,530.94 = 1,038.76/x
  3. Step 3: Cross multiply
    2,355x = 3,530.94 × 1,038.76
  4. Step 4: Simplify right side
    2,355x = 3,667,799.23
  5. Step 5: Solve for x
    x = 3,667,799.23/2,355
  6. Step 6: Final answer
    x = 1,557.45

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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.