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Finding the Fourth Proportional to 3,386.81, 4,673.60 and 1,970.27

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Solution

The fourth proportional to 3,386.81, 4,673.60 and 1,970.27 is: 2,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.81 : 4,673.60 = 1,970.27 : x
  2. Step 2: Convert to fraction form
    3,386.81/4,673.60 = 1,970.27/x
  3. Step 3: Cross multiply
    3,386.81x = 4,673.60 × 1,970.27
  4. Step 4: Simplify right side
    3,386.81x = 9,208,271.86
  5. Step 5: Solve for x
    x = 9,208,271.86/3,386.81
  6. Step 6: Final answer
    x = 2,718.86

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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.