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Finding the Fourth Proportional to 2,345.25, 3,518.55 and 785.37

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Solution

The fourth proportional to 2,345.25, 3,518.55 and 785.37 is: 1,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.25 : 3,518.55 = 785.37 : x
  2. Step 2: Convert to fraction form
    2,345.25/3,518.55 = 785.37/x
  3. Step 3: Cross multiply
    2,345.25x = 3,518.55 × 785.37
  4. Step 4: Simplify right side
    2,345.25x = 2,763,363.61
  5. Step 5: Solve for x
    x = 2,763,363.61/2,345.25
  6. Step 6: Final answer
    x = 1,178.28

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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.