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Finding the Fourth Proportional to 2,386.44, 3,574.49 and 1,970.91

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Solution

The fourth proportional to 2,386.44, 3,574.49 and 1,970.91 is: 2,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.44 : 3,574.49 = 1,970.91 : x
  2. Step 2: Convert to fraction form
    2,386.44/3,574.49 = 1,970.91/x
  3. Step 3: Cross multiply
    2,386.44x = 3,574.49 × 1,970.91
  4. Step 4: Simplify right side
    2,386.44x = 7,044,988.23
  5. Step 5: Solve for x
    x = 7,044,988.23/2,386.44
  6. Step 6: Final answer
    x = 2,952.09

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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.