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Finding the Fourth Proportional to 2,592.36, 3,888.54 and 950.76

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Solution

The fourth proportional to 2,592.36, 3,888.54 and 950.76 is: 1,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.36 : 3,888.54 = 950.76 : x
  2. Step 2: Convert to fraction form
    2,592.36/3,888.54 = 950.76/x
  3. Step 3: Cross multiply
    2,592.36x = 3,888.54 × 950.76
  4. Step 4: Simplify right side
    2,592.36x = 3,697,068.29
  5. Step 5: Solve for x
    x = 3,697,068.29/2,592.36
  6. Step 6: Final answer
    x = 1,426.14

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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.