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Finding the Fourth Proportional to 2,434.59, 3,652.09 and 973.85

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Solution

The fourth proportional to 2,434.59, 3,652.09 and 973.85 is: 1,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.59 : 3,652.09 = 973.85 : x
  2. Step 2: Convert to fraction form
    2,434.59/3,652.09 = 973.85/x
  3. Step 3: Cross multiply
    2,434.59x = 3,652.09 × 973.85
  4. Step 4: Simplify right side
    2,434.59x = 3,556,567.15
  5. Step 5: Solve for x
    x = 3,556,567.15/2,434.59
  6. Step 6: Final answer
    x = 1,460.85

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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.