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Finding the Fourth Proportional to 2,123.70, 2,924.55 and 1,731.66

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Solution

The fourth proportional to 2,123.70, 2,924.55 and 1,731.66 is: 2,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.70 : 2,924.55 = 1,731.66 : x
  2. Step 2: Convert to fraction form
    2,123.70/2,924.55 = 1,731.66/x
  3. Step 3: Cross multiply
    2,123.70x = 2,924.55 × 1,731.66
  4. Step 4: Simplify right side
    2,123.70x = 5,064,326.25
  5. Step 5: Solve for x
    x = 5,064,326.25/2,123.70
  6. Step 6: Final answer
    x = 2,384.67

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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.