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Finding the Fourth Proportional to 1,971.70, 2,957.55 and 999.70

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Solution

The fourth proportional to 1,971.70, 2,957.55 and 999.70 is: 1,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.70 : 2,957.55 = 999.70 : x
  2. Step 2: Convert to fraction form
    1,971.70/2,957.55 = 999.70/x
  3. Step 3: Cross multiply
    1,971.70x = 2,957.55 × 999.70
  4. Step 4: Simplify right side
    1,971.70x = 2,956,662.74
  5. Step 5: Solve for x
    x = 2,956,662.74/1,971.70
  6. Step 6: Final answer
    x = 1,499.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.