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Finding the Fourth Proportional to 2,070.35, 2,856.51 and 1,440.17

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Solution

The fourth proportional to 2,070.35, 2,856.51 and 1,440.17 is: 1,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.35 : 2,856.51 = 1,440.17 : x
  2. Step 2: Convert to fraction form
    2,070.35/2,856.51 = 1,440.17/x
  3. Step 3: Cross multiply
    2,070.35x = 2,856.51 × 1,440.17
  4. Step 4: Simplify right side
    2,070.35x = 4,113,845.72
  5. Step 5: Solve for x
    x = 4,113,845.72/2,070.35
  6. Step 6: Final answer
    x = 1,987.03

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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.