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Finding the Fourth Proportional to 1,977.34, 2,965.02 and 590.52

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Solution

The fourth proportional to 1,977.34, 2,965.02 and 590.52 is: 885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.34 : 2,965.02 = 590.52 : x
  2. Step 2: Convert to fraction form
    1,977.34/2,965.02 = 590.52/x
  3. Step 3: Cross multiply
    1,977.34x = 2,965.02 × 590.52
  4. Step 4: Simplify right side
    1,977.34x = 1,750,903.61
  5. Step 5: Solve for x
    x = 1,750,903.61/1,977.34
  6. Step 6: Final answer
    x = 885.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.