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Finding the Fourth Proportional to 2,362.68, 3,526.50 and 2,085.90

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Solution

The fourth proportional to 2,362.68, 3,526.50 and 2,085.90 is: 3,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.68 : 3,526.50 = 2,085.90 : x
  2. Step 2: Convert to fraction form
    2,362.68/3,526.50 = 2,085.90/x
  3. Step 3: Cross multiply
    2,362.68x = 3,526.50 × 2,085.90
  4. Step 4: Simplify right side
    2,362.68x = 7,355,926.35
  5. Step 5: Solve for x
    x = 7,355,926.35/2,362.68
  6. Step 6: Final answer
    x = 3,113.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.