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Finding the Fourth Proportional to 1,544.00, 2,325.24 and 1,405.76

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Solution

The fourth proportional to 1,544.00, 2,325.24 and 1,405.76 is: 2,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.00 : 2,325.24 = 1,405.76 : x
  2. Step 2: Convert to fraction form
    1,544.00/2,325.24 = 1,405.76/x
  3. Step 3: Cross multiply
    1,544.00x = 2,325.24 × 1,405.76
  4. Step 4: Simplify right side
    1,544.00x = 3,268,717.76
  5. Step 5: Solve for x
    x = 3,268,717.76/1,544.00
  6. Step 6: Final answer
    x = 2,117.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.