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Finding the Fourth Proportional to 2,101.56, 2,898.72 and 1,658.76

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Solution

The fourth proportional to 2,101.56, 2,898.72 and 1,658.76 is: 2,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.56 : 2,898.72 = 1,658.76 : x
  2. Step 2: Convert to fraction form
    2,101.56/2,898.72 = 1,658.76/x
  3. Step 3: Cross multiply
    2,101.56x = 2,898.72 × 1,658.76
  4. Step 4: Simplify right side
    2,101.56x = 4,808,280.79
  5. Step 5: Solve for x
    x = 4,808,280.79/2,101.56
  6. Step 6: Final answer
    x = 2,287.96

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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.