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Finding the Fourth Proportional to 1,890.64, 2,835.78 and 592

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Solution

The fourth proportional to 1,890.64, 2,835.78 and 592 is: 887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.64 : 2,835.78 = 592 : x
  2. Step 2: Convert to fraction form
    1,890.64/2,835.78 = 592/x
  3. Step 3: Cross multiply
    1,890.64x = 2,835.78 × 592
  4. Step 4: Simplify right side
    1,890.64x = 1,678,781.76
  5. Step 5: Solve for x
    x = 1,678,781.76/1,890.64
  6. Step 6: Final answer
    x = 887.94

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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.