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Finding the Fourth Proportional to 2,586.99, 3,569.95 and 1,408.07

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Solution

The fourth proportional to 2,586.99, 3,569.95 and 1,408.07 is: 1,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.99 : 3,569.95 = 1,408.07 : x
  2. Step 2: Convert to fraction form
    2,586.99/3,569.95 = 1,408.07/x
  3. Step 3: Cross multiply
    2,586.99x = 3,569.95 × 1,408.07
  4. Step 4: Simplify right side
    2,586.99x = 5,026,730.10
  5. Step 5: Solve for x
    x = 5,026,730.10/2,586.99
  6. Step 6: Final answer
    x = 1,943.08

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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.