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Finding the Fourth Proportional to 1,417.15, 2,123.88 and 723.23

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Solution

The fourth proportional to 1,417.15, 2,123.88 and 723.23 is: 1,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.15 : 2,123.88 = 723.23 : x
  2. Step 2: Convert to fraction form
    1,417.15/2,123.88 = 723.23/x
  3. Step 3: Cross multiply
    1,417.15x = 2,123.88 × 723.23
  4. Step 4: Simplify right side
    1,417.15x = 1,536,056.33
  5. Step 5: Solve for x
    x = 1,536,056.33/1,417.15
  6. Step 6: Final answer
    x = 1,083.90

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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.