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Finding the Fourth Proportional to 2,417.95, 3,597.96 and 2,409.74

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Solution

The fourth proportional to 2,417.95, 3,597.96 and 2,409.74 is: 3,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.95 : 3,597.96 = 2,409.74 : x
  2. Step 2: Convert to fraction form
    2,417.95/3,597.96 = 2,409.74/x
  3. Step 3: Cross multiply
    2,417.95x = 3,597.96 × 2,409.74
  4. Step 4: Simplify right side
    2,417.95x = 8,670,172.91
  5. Step 5: Solve for x
    x = 8,670,172.91/2,417.95
  6. Step 6: Final answer
    x = 3,585.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.