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Finding the Fourth Proportional to 1,295.95, 1,941.18 and 1,048.09

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Solution

The fourth proportional to 1,295.95, 1,941.18 and 1,048.09 is: 1,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.95 : 1,941.18 = 1,048.09 : x
  2. Step 2: Convert to fraction form
    1,295.95/1,941.18 = 1,048.09/x
  3. Step 3: Cross multiply
    1,295.95x = 1,941.18 × 1,048.09
  4. Step 4: Simplify right side
    1,295.95x = 2,034,533.97
  5. Step 5: Solve for x
    x = 2,034,533.97/1,295.95
  6. Step 6: Final answer
    x = 1,569.92

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Why These Related Problems?

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