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Finding the Fourth Proportional to 2,070.56, 2,857.60 and 1,440.92

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Solution

The fourth proportional to 2,070.56, 2,857.60 and 1,440.92 is: 1,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.56 : 2,857.60 = 1,440.92 : x
  2. Step 2: Convert to fraction form
    2,070.56/2,857.60 = 1,440.92/x
  3. Step 3: Cross multiply
    2,070.56x = 2,857.60 × 1,440.92
  4. Step 4: Simplify right side
    2,070.56x = 4,117,572.99
  5. Step 5: Solve for x
    x = 4,117,572.99/2,070.56
  6. Step 6: Final answer
    x = 1,988.63

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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.