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Finding the Fourth Proportional to 1,924.67, 2,657.60 and 1,570.64

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Solution

The fourth proportional to 1,924.67, 2,657.60 and 1,570.64 is: 2,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.67 : 2,657.60 = 1,570.64 : x
  2. Step 2: Convert to fraction form
    1,924.67/2,657.60 = 1,570.64/x
  3. Step 3: Cross multiply
    1,924.67x = 2,657.60 × 1,570.64
  4. Step 4: Simplify right side
    1,924.67x = 4,174,132.86
  5. Step 5: Solve for x
    x = 4,174,132.86/1,924.67
  6. Step 6: Final answer
    x = 2,168.75

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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.