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Finding the Fourth Proportional to 1,764.04, 2,445.53 and 1,670.42

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Solution

The fourth proportional to 1,764.04, 2,445.53 and 1,670.42 is: 2,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.04 : 2,445.53 = 1,670.42 : x
  2. Step 2: Convert to fraction form
    1,764.04/2,445.53 = 1,670.42/x
  3. Step 3: Cross multiply
    1,764.04x = 2,445.53 × 1,670.42
  4. Step 4: Simplify right side
    1,764.04x = 4,085,047.76
  5. Step 5: Solve for x
    x = 4,085,047.76/1,764.04
  6. Step 6: Final answer
    x = 2,315.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.