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Finding the Fourth Proportional to 2,435.12, 3,652.52 and 973.22

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Solution

The fourth proportional to 2,435.12, 3,652.52 and 973.22 is: 1,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.12 : 3,652.52 = 973.22 : x
  2. Step 2: Convert to fraction form
    2,435.12/3,652.52 = 973.22/x
  3. Step 3: Cross multiply
    2,435.12x = 3,652.52 × 973.22
  4. Step 4: Simplify right side
    2,435.12x = 3,554,705.51
  5. Step 5: Solve for x
    x = 3,554,705.51/2,435.12
  6. Step 6: Final answer
    x = 1,459.77

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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.