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Finding the Fourth Proportional to 2,256.88, 3,386.40 and 1,102

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Solution

The fourth proportional to 2,256.88, 3,386.40 and 1,102 is: 1,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.88 : 3,386.40 = 1,102 : x
  2. Step 2: Convert to fraction form
    2,256.88/3,386.40 = 1,102/x
  3. Step 3: Cross multiply
    2,256.88x = 3,386.40 × 1,102
  4. Step 4: Simplify right side
    2,256.88x = 3,731,812.80
  5. Step 5: Solve for x
    x = 3,731,812.80/2,256.88
  6. Step 6: Final answer
    x = 1,653.53

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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.