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Finding the Fourth Proportional to 2,592.74, 3,574.76 and 2,256.14

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Solution

The fourth proportional to 2,592.74, 3,574.76 and 2,256.14 is: 3,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.74 : 3,574.76 = 2,256.14 : x
  2. Step 2: Convert to fraction form
    2,592.74/3,574.76 = 2,256.14/x
  3. Step 3: Cross multiply
    2,592.74x = 3,574.76 × 2,256.14
  4. Step 4: Simplify right side
    2,592.74x = 8,065,159.03
  5. Step 5: Solve for x
    x = 8,065,159.03/2,592.74
  6. Step 6: Final answer
    x = 3,110.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.