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Finding the Fourth Proportional to 1,901.35, 2,852.03 and 585.09

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Solution

The fourth proportional to 1,901.35, 2,852.03 and 585.09 is: 877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.35 : 2,852.03 = 585.09 : x
  2. Step 2: Convert to fraction form
    1,901.35/2,852.03 = 585.09/x
  3. Step 3: Cross multiply
    1,901.35x = 2,852.03 × 585.09
  4. Step 4: Simplify right side
    1,901.35x = 1,668,706.39
  5. Step 5: Solve for x
    x = 1,668,706.39/1,901.35
  6. Step 6: Final answer
    x = 877.64

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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.