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Finding the Fourth Proportional to 2,590.71, 3,887.70 and 947.10

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Solution

The fourth proportional to 2,590.71, 3,887.70 and 947.10 is: 1,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.71 : 3,887.70 = 947.10 : x
  2. Step 2: Convert to fraction form
    2,590.71/3,887.70 = 947.10/x
  3. Step 3: Cross multiply
    2,590.71x = 3,887.70 × 947.10
  4. Step 4: Simplify right side
    2,590.71x = 3,682,040.67
  5. Step 5: Solve for x
    x = 3,682,040.67/2,590.71
  6. Step 6: Final answer
    x = 1,421.25

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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.