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Finding the Fourth Proportional to 1,880.95, 2,596.02 and 1,095.46

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Solution

The fourth proportional to 1,880.95, 2,596.02 and 1,095.46 is: 1,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.95 : 2,596.02 = 1,095.46 : x
  2. Step 2: Convert to fraction form
    1,880.95/2,596.02 = 1,095.46/x
  3. Step 3: Cross multiply
    1,880.95x = 2,596.02 × 1,095.46
  4. Step 4: Simplify right side
    1,880.95x = 2,843,836.07
  5. Step 5: Solve for x
    x = 2,843,836.07/1,880.95
  6. Step 6: Final answer
    x = 1,511.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.