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Finding the Fourth Proportional to 2,070.42, 2,856.09 and 1,407.70

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Solution

The fourth proportional to 2,070.42, 2,856.09 and 1,407.70 is: 1,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.42 : 2,856.09 = 1,407.70 : x
  2. Step 2: Convert to fraction form
    2,070.42/2,856.09 = 1,407.70/x
  3. Step 3: Cross multiply
    2,070.42x = 2,856.09 × 1,407.70
  4. Step 4: Simplify right side
    2,070.42x = 4,020,517.89
  5. Step 5: Solve for x
    x = 4,020,517.89/2,070.42
  6. Step 6: Final answer
    x = 1,941.89

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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.