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Finding the Fourth Proportional to 2,545.60, 3,817.79 and 1,435.51

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Solution

The fourth proportional to 2,545.60, 3,817.79 and 1,435.51 is: 2,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.60 : 3,817.79 = 1,435.51 : x
  2. Step 2: Convert to fraction form
    2,545.60/3,817.79 = 1,435.51/x
  3. Step 3: Cross multiply
    2,545.60x = 3,817.79 × 1,435.51
  4. Step 4: Simplify right side
    2,545.60x = 5,480,460.22
  5. Step 5: Solve for x
    x = 5,480,460.22/2,545.60
  6. Step 6: Final answer
    x = 2,152.91

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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.