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Finding the Fourth Proportional to 2,083.68, 2,875.14 and 1,152

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Solution

The fourth proportional to 2,083.68, 2,875.14 and 1,152 is: 1,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.68 : 2,875.14 = 1,152 : x
  2. Step 2: Convert to fraction form
    2,083.68/2,875.14 = 1,152/x
  3. Step 3: Cross multiply
    2,083.68x = 2,875.14 × 1,152
  4. Step 4: Simplify right side
    2,083.68x = 3,312,161.28
  5. Step 5: Solve for x
    x = 3,312,161.28/2,083.68
  6. Step 6: Final answer
    x = 1,589.57

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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.