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Finding the Fourth Proportional to 3,312.66, 4,572.38 and 1,897.14

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Solution

The fourth proportional to 3,312.66, 4,572.38 and 1,897.14 is: 2,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.66 : 4,572.38 = 1,897.14 : x
  2. Step 2: Convert to fraction form
    3,312.66/4,572.38 = 1,897.14/x
  3. Step 3: Cross multiply
    3,312.66x = 4,572.38 × 1,897.14
  4. Step 4: Simplify right side
    3,312.66x = 8,674,444.99
  5. Step 5: Solve for x
    x = 8,674,444.99/3,312.66
  6. Step 6: Final answer
    x = 2,618.57

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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.