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Finding the Fourth Proportional to 2,657.83, 3,981.75 and 1,558.93

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Solution

The fourth proportional to 2,657.83, 3,981.75 and 1,558.93 is: 2,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.83 : 3,981.75 = 1,558.93 : x
  2. Step 2: Convert to fraction form
    2,657.83/3,981.75 = 1,558.93/x
  3. Step 3: Cross multiply
    2,657.83x = 3,981.75 × 1,558.93
  4. Step 4: Simplify right side
    2,657.83x = 6,207,269.53
  5. Step 5: Solve for x
    x = 6,207,269.53/2,657.83
  6. Step 6: Final answer
    x = 2,335.47

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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.