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Finding the Fourth Proportional to 1,705.95, 2,569.14 and 1,502.73

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Solution

The fourth proportional to 1,705.95, 2,569.14 and 1,502.73 is: 2,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.95 : 2,569.14 = 1,502.73 : x
  2. Step 2: Convert to fraction form
    1,705.95/2,569.14 = 1,502.73/x
  3. Step 3: Cross multiply
    1,705.95x = 2,569.14 × 1,502.73
  4. Step 4: Simplify right side
    1,705.95x = 3,860,723.75
  5. Step 5: Solve for x
    x = 3,860,723.75/1,705.95
  6. Step 6: Final answer
    x = 2,263.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.