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Finding the Fourth Proportional to 2,060, 2,841.60 and 1,430.88

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Solution

The fourth proportional to 2,060, 2,841.60 and 1,430.88 is: 1,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060 : 2,841.60 = 1,430.88 : x
  2. Step 2: Convert to fraction form
    2,060/2,841.60 = 1,430.88/x
  3. Step 3: Cross multiply
    2,060x = 2,841.60 × 1,430.88
  4. Step 4: Simplify right side
    2,060x = 4,065,988.61
  5. Step 5: Solve for x
    x = 4,065,988.61/2,060
  6. Step 6: Final answer
    x = 1,973.78

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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.