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Finding the Fourth Proportional to 2,307.23, 3,457.52 and 990.64

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Solution

The fourth proportional to 2,307.23, 3,457.52 and 990.64 is: 1,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.23 : 3,457.52 = 990.64 : x
  2. Step 2: Convert to fraction form
    2,307.23/3,457.52 = 990.64/x
  3. Step 3: Cross multiply
    2,307.23x = 3,457.52 × 990.64
  4. Step 4: Simplify right side
    2,307.23x = 3,425,141.59
  5. Step 5: Solve for x
    x = 3,425,141.59/2,307.23
  6. Step 6: Final answer
    x = 1,484.53

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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.