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Finding the Fourth Proportional to 2,503.68, 3,774.53 and 2,369.76

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Solution

The fourth proportional to 2,503.68, 3,774.53 and 2,369.76 is: 3,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.68 : 3,774.53 = 2,369.76 : x
  2. Step 2: Convert to fraction form
    2,503.68/3,774.53 = 2,369.76/x
  3. Step 3: Cross multiply
    2,503.68x = 3,774.53 × 2,369.76
  4. Step 4: Simplify right side
    2,503.68x = 8,944,718.36
  5. Step 5: Solve for x
    x = 8,944,718.36/2,503.68
  6. Step 6: Final answer
    x = 3,572.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.