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Finding the Fourth Proportional to 2,586.90, 3,569.88 and 1,407.99

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Solution

The fourth proportional to 2,586.90, 3,569.88 and 1,407.99 is: 1,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.90 : 3,569.88 = 1,407.99 : x
  2. Step 2: Convert to fraction form
    2,586.90/3,569.88 = 1,407.99/x
  3. Step 3: Cross multiply
    2,586.90x = 3,569.88 × 1,407.99
  4. Step 4: Simplify right side
    2,586.90x = 5,026,355.34
  5. Step 5: Solve for x
    x = 5,026,355.34/2,586.90
  6. Step 6: Final answer
    x = 1,943.00

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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.