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Finding the Fourth Proportional to 2,594.70, 3,895.69 and 2,477.14

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Solution

The fourth proportional to 2,594.70, 3,895.69 and 2,477.14 is: 3,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.70 : 3,895.69 = 2,477.14 : x
  2. Step 2: Convert to fraction form
    2,594.70/3,895.69 = 2,477.14/x
  3. Step 3: Cross multiply
    2,594.70x = 3,895.69 × 2,477.14
  4. Step 4: Simplify right side
    2,594.70x = 9,650,169.53
  5. Step 5: Solve for x
    x = 9,650,169.53/2,594.70
  6. Step 6: Final answer
    x = 3,719.19

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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.