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Finding the Fourth Proportional to 2,860.65, 4,293 and 1,689.93

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Solution

The fourth proportional to 2,860.65, 4,293 and 1,689.93 is: 2,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.65 : 4,293 = 1,689.93 : x
  2. Step 2: Convert to fraction form
    2,860.65/4,293 = 1,689.93/x
  3. Step 3: Cross multiply
    2,860.65x = 4,293 × 1,689.93
  4. Step 4: Simplify right side
    2,860.65x = 7,254,869.49
  5. Step 5: Solve for x
    x = 7,254,869.49/2,860.65
  6. Step 6: Final answer
    x = 2,536.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.