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Finding the Fourth Proportional to 2,386.34, 3,574.80 and 2,206.91

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Solution

The fourth proportional to 2,386.34, 3,574.80 and 2,206.91 is: 3,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.34 : 3,574.80 = 2,206.91 : x
  2. Step 2: Convert to fraction form
    2,386.34/3,574.80 = 2,206.91/x
  3. Step 3: Cross multiply
    2,386.34x = 3,574.80 × 2,206.91
  4. Step 4: Simplify right side
    2,386.34x = 7,889,270.81
  5. Step 5: Solve for x
    x = 7,889,270.81/2,386.34
  6. Step 6: Final answer
    x = 3,306.01

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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.