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Finding the Fourth Proportional to 2,256.57, 3,384.93 and 1,070.34

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Solution

The fourth proportional to 2,256.57, 3,384.93 and 1,070.34 is: 1,605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.57 : 3,384.93 = 1,070.34 : x
  2. Step 2: Convert to fraction form
    2,256.57/3,384.93 = 1,070.34/x
  3. Step 3: Cross multiply
    2,256.57x = 3,384.93 × 1,070.34
  4. Step 4: Simplify right side
    2,256.57x = 3,623,025.98
  5. Step 5: Solve for x
    x = 3,623,025.98/2,256.57
  6. Step 6: Final answer
    x = 1,605.55

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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.