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Finding the Fourth Proportional to 2,307.37, 3,459.01 and 846.18

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Solution

The fourth proportional to 2,307.37, 3,459.01 and 846.18 is: 1,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.37 : 3,459.01 = 846.18 : x
  2. Step 2: Convert to fraction form
    2,307.37/3,459.01 = 846.18/x
  3. Step 3: Cross multiply
    2,307.37x = 3,459.01 × 846.18
  4. Step 4: Simplify right side
    2,307.37x = 2,926,945.08
  5. Step 5: Solve for x
    x = 2,926,945.08/2,307.37
  6. Step 6: Final answer
    x = 1,268.52

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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.