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Finding the Fourth Proportional to 2,564.96, 3,539.72 and 1,445.99

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Solution

The fourth proportional to 2,564.96, 3,539.72 and 1,445.99 is: 1,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.96 : 3,539.72 = 1,445.99 : x
  2. Step 2: Convert to fraction form
    2,564.96/3,539.72 = 1,445.99/x
  3. Step 3: Cross multiply
    2,564.96x = 3,539.72 × 1,445.99
  4. Step 4: Simplify right side
    2,564.96x = 5,118,412.19
  5. Step 5: Solve for x
    x = 5,118,412.19/2,564.96
  6. Step 6: Final answer
    x = 1,995.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.