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Finding the Fourth Proportional to 1,491, 2,235.48 and 1,355.34

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Solution

The fourth proportional to 1,491, 2,235.48 and 1,355.34 is: 2,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491 : 2,235.48 = 1,355.34 : x
  2. Step 2: Convert to fraction form
    1,491/2,235.48 = 1,355.34/x
  3. Step 3: Cross multiply
    1,491x = 2,235.48 × 1,355.34
  4. Step 4: Simplify right side
    1,491x = 3,029,835.46
  5. Step 5: Solve for x
    x = 3,029,835.46/1,491
  6. Step 6: Final answer
    x = 2,032.08

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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.