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Finding the Fourth Proportional to 3,059.01, 4,586.26 and 977.81

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Solution

The fourth proportional to 3,059.01, 4,586.26 and 977.81 is: 1,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.01 : 4,586.26 = 977.81 : x
  2. Step 2: Convert to fraction form
    3,059.01/4,586.26 = 977.81/x
  3. Step 3: Cross multiply
    3,059.01x = 4,586.26 × 977.81
  4. Step 4: Simplify right side
    3,059.01x = 4,484,486.38
  5. Step 5: Solve for x
    x = 4,484,486.38/3,059.01
  6. Step 6: Final answer
    x = 1,465.99

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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.