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Finding the Fourth Proportional to 1,415.70, 1,951.61 and 1,022.10

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Solution

The fourth proportional to 1,415.70, 1,951.61 and 1,022.10 is: 1,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.70 : 1,951.61 = 1,022.10 : x
  2. Step 2: Convert to fraction form
    1,415.70/1,951.61 = 1,022.10/x
  3. Step 3: Cross multiply
    1,415.70x = 1,951.61 × 1,022.10
  4. Step 4: Simplify right side
    1,415.70x = 1,994,740.58
  5. Step 5: Solve for x
    x = 1,994,740.58/1,415.70
  6. Step 6: Final answer
    x = 1,409.01

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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.