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Finding the Fourth Proportional to 1,364.85, 2,048.09 and 1,043.01

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Solution

The fourth proportional to 1,364.85, 2,048.09 and 1,043.01 is: 1,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.85 : 2,048.09 = 1,043.01 : x
  2. Step 2: Convert to fraction form
    1,364.85/2,048.09 = 1,043.01/x
  3. Step 3: Cross multiply
    1,364.85x = 2,048.09 × 1,043.01
  4. Step 4: Simplify right side
    1,364.85x = 2,136,173.14
  5. Step 5: Solve for x
    x = 2,136,173.14/1,364.85
  6. Step 6: Final answer
    x = 1,565.13

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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.