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Finding the Fourth Proportional to 2,564.64, 3,538.93 and 1,445.75

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Solution

The fourth proportional to 2,564.64, 3,538.93 and 1,445.75 is: 1,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.64 : 3,538.93 = 1,445.75 : x
  2. Step 2: Convert to fraction form
    2,564.64/3,538.93 = 1,445.75/x
  3. Step 3: Cross multiply
    2,564.64x = 3,538.93 × 1,445.75
  4. Step 4: Simplify right side
    2,564.64x = 5,116,389.45
  5. Step 5: Solve for x
    x = 5,116,389.45/2,564.64
  6. Step 6: Final answer
    x = 1,994.98

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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.