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Finding the Fourth Proportional to 1,405.05, 2,105.15 and 971.70

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Solution

The fourth proportional to 1,405.05, 2,105.15 and 971.70 is: 1,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.05 : 2,105.15 = 971.70 : x
  2. Step 2: Convert to fraction form
    1,405.05/2,105.15 = 971.70/x
  3. Step 3: Cross multiply
    1,405.05x = 2,105.15 × 971.70
  4. Step 4: Simplify right side
    1,405.05x = 2,045,569.40
  5. Step 5: Solve for x
    x = 2,045,569.40/1,405.05
  6. Step 6: Final answer
    x = 1,455.87

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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.