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Finding the Fourth Proportional to 2,293.77, 3,435.62 and 1,714.89

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Solution

The fourth proportional to 2,293.77, 3,435.62 and 1,714.89 is: 2,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.77 : 3,435.62 = 1,714.89 : x
  2. Step 2: Convert to fraction form
    2,293.77/3,435.62 = 1,714.89/x
  3. Step 3: Cross multiply
    2,293.77x = 3,435.62 × 1,714.89
  4. Step 4: Simplify right side
    2,293.77x = 5,891,701.81
  5. Step 5: Solve for x
    x = 5,891,701.81/2,293.77
  6. Step 6: Final answer
    x = 2,568.57

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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.