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Finding the Fourth Proportional to 2,095.70, 2,894.66 and 1,535.30

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Solution

The fourth proportional to 2,095.70, 2,894.66 and 1,535.30 is: 2,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.70 : 2,894.66 = 1,535.30 : x
  2. Step 2: Convert to fraction form
    2,095.70/2,894.66 = 1,535.30/x
  3. Step 3: Cross multiply
    2,095.70x = 2,894.66 × 1,535.30
  4. Step 4: Simplify right side
    2,095.70x = 4,444,171.50
  5. Step 5: Solve for x
    x = 4,444,171.50/2,095.70
  6. Step 6: Final answer
    x = 2,120.61

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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.