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Finding the Fourth Proportional to 2,613.99, 3,607.31 and 1,435.06

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Solution

The fourth proportional to 2,613.99, 3,607.31 and 1,435.06 is: 1,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.99 : 3,607.31 = 1,435.06 : x
  2. Step 2: Convert to fraction form
    2,613.99/3,607.31 = 1,435.06/x
  3. Step 3: Cross multiply
    2,613.99x = 3,607.31 × 1,435.06
  4. Step 4: Simplify right side
    2,613.99x = 5,176,706.29
  5. Step 5: Solve for x
    x = 5,176,706.29/2,613.99
  6. Step 6: Final answer
    x = 1,980.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.