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Finding the Fourth Proportional to 1,408.58, 1,943.16 and 1,095.92

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Solution

The fourth proportional to 1,408.58, 1,943.16 and 1,095.92 is: 1,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.58 : 1,943.16 = 1,095.92 : x
  2. Step 2: Convert to fraction form
    1,408.58/1,943.16 = 1,095.92/x
  3. Step 3: Cross multiply
    1,408.58x = 1,943.16 × 1,095.92
  4. Step 4: Simplify right side
    1,408.58x = 2,129,547.91
  5. Step 5: Solve for x
    x = 2,129,547.91/1,408.58
  6. Step 6: Final answer
    x = 1,511.84

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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.