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Finding the Fourth Proportional to 1,715.40, 2,570.06 and 1,658.30

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Solution

The fourth proportional to 1,715.40, 2,570.06 and 1,658.30 is: 2,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.40 : 2,570.06 = 1,658.30 : x
  2. Step 2: Convert to fraction form
    1,715.40/2,570.06 = 1,658.30/x
  3. Step 3: Cross multiply
    1,715.40x = 2,570.06 × 1,658.30
  4. Step 4: Simplify right side
    1,715.40x = 4,261,921.79
  5. Step 5: Solve for x
    x = 4,261,921.79/1,715.40
  6. Step 6: Final answer
    x = 2,484.51

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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.