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Finding the Fourth Proportional to 2,409.19, 3,611.59 and 948.00

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Solution

The fourth proportional to 2,409.19, 3,611.59 and 948.00 is: 1,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.19 : 3,611.59 = 948.00 : x
  2. Step 2: Convert to fraction form
    2,409.19/3,611.59 = 948.00/x
  3. Step 3: Cross multiply
    2,409.19x = 3,611.59 × 948.00
  4. Step 4: Simplify right side
    2,409.19x = 3,423,798.49
  5. Step 5: Solve for x
    x = 3,423,798.49/2,409.19
  6. Step 6: Final answer
    x = 1,421.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.