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Finding the Fourth Proportional to 2,580.93, 3,561.67 and 1,402

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Solution

The fourth proportional to 2,580.93, 3,561.67 and 1,402 is: 1,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.93 : 3,561.67 = 1,402 : x
  2. Step 2: Convert to fraction form
    2,580.93/3,561.67 = 1,402/x
  3. Step 3: Cross multiply
    2,580.93x = 3,561.67 × 1,402
  4. Step 4: Simplify right side
    2,580.93x = 4,993,461.34
  5. Step 5: Solve for x
    x = 4,993,461.34/2,580.93
  6. Step 6: Final answer
    x = 1,934.75

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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.