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Finding the Fourth Proportional to 2,580.42, 3,560.98 and 1,401.51

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Solution

The fourth proportional to 2,580.42, 3,560.98 and 1,401.51 is: 1,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.42 : 3,560.98 = 1,401.51 : x
  2. Step 2: Convert to fraction form
    2,580.42/3,560.98 = 1,401.51/x
  3. Step 3: Cross multiply
    2,580.42x = 3,560.98 × 1,401.51
  4. Step 4: Simplify right side
    2,580.42x = 4,990,749.08
  5. Step 5: Solve for x
    x = 4,990,749.08/2,580.42
  6. Step 6: Final answer
    x = 1,934.08

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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.