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Finding the Fourth Proportional to 1,795.64, 2,693.44 and 497.10

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Solution

The fourth proportional to 1,795.64, 2,693.44 and 497.10 is: 745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.64 : 2,693.44 = 497.10 : x
  2. Step 2: Convert to fraction form
    1,795.64/2,693.44 = 497.10/x
  3. Step 3: Cross multiply
    1,795.64x = 2,693.44 × 497.10
  4. Step 4: Simplify right side
    1,795.64x = 1,338,909.02
  5. Step 5: Solve for x
    x = 1,338,909.02/1,795.64
  6. Step 6: Final answer
    x = 745.64

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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.