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Finding the Fourth Proportional to 1,783.86, 2,462.40 and 1,597.01

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Solution

The fourth proportional to 1,783.86, 2,462.40 and 1,597.01 is: 2,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.86 : 2,462.40 = 1,597.01 : x
  2. Step 2: Convert to fraction form
    1,783.86/2,462.40 = 1,597.01/x
  3. Step 3: Cross multiply
    1,783.86x = 2,462.40 × 1,597.01
  4. Step 4: Simplify right side
    1,783.86x = 3,932,477.42
  5. Step 5: Solve for x
    x = 3,932,477.42/1,783.86
  6. Step 6: Final answer
    x = 2,204.48

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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.