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Finding the Fourth Proportional to 2,256.90, 3,384.53 and 869.53

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Solution

The fourth proportional to 2,256.90, 3,384.53 and 869.53 is: 1,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.90 : 3,384.53 = 869.53 : x
  2. Step 2: Convert to fraction form
    2,256.90/3,384.53 = 869.53/x
  3. Step 3: Cross multiply
    2,256.90x = 3,384.53 × 869.53
  4. Step 4: Simplify right side
    2,256.90x = 2,942,950.37
  5. Step 5: Solve for x
    x = 2,942,950.37/2,256.90
  6. Step 6: Final answer
    x = 1,303.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.