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Finding the Fourth Proportional to 2,599.48, 3,586.74 and 1,654.93

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Solution

The fourth proportional to 2,599.48, 3,586.74 and 1,654.93 is: 2,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.48 : 3,586.74 = 1,654.93 : x
  2. Step 2: Convert to fraction form
    2,599.48/3,586.74 = 1,654.93/x
  3. Step 3: Cross multiply
    2,599.48x = 3,586.74 × 1,654.93
  4. Step 4: Simplify right side
    2,599.48x = 5,935,803.63
  5. Step 5: Solve for x
    x = 5,935,803.63/2,599.48
  6. Step 6: Final answer
    x = 2,283.46

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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.