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Finding the Fourth Proportional to 2,298.09, 3,445.08 and 910.50

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Solution

The fourth proportional to 2,298.09, 3,445.08 and 910.50 is: 1,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.09 : 3,445.08 = 910.50 : x
  2. Step 2: Convert to fraction form
    2,298.09/3,445.08 = 910.50/x
  3. Step 3: Cross multiply
    2,298.09x = 3,445.08 × 910.50
  4. Step 4: Simplify right side
    2,298.09x = 3,136,745.34
  5. Step 5: Solve for x
    x = 3,136,745.34/2,298.09
  6. Step 6: Final answer
    x = 1,364.94

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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.