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Finding the Fourth Proportional to 2,070.74, 2,856.14 and 1,441.49

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Solution

The fourth proportional to 2,070.74, 2,856.14 and 1,441.49 is: 1,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.74 : 2,856.14 = 1,441.49 : x
  2. Step 2: Convert to fraction form
    2,070.74/2,856.14 = 1,441.49/x
  3. Step 3: Cross multiply
    2,070.74x = 2,856.14 × 1,441.49
  4. Step 4: Simplify right side
    2,070.74x = 4,117,075.76
  5. Step 5: Solve for x
    x = 4,117,075.76/2,070.74
  6. Step 6: Final answer
    x = 1,988.21

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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.