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Finding the Fourth Proportional to 3,386.53, 4,673.32 and 1,970.65

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Solution

The fourth proportional to 3,386.53, 4,673.32 and 1,970.65 is: 2,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.53 : 4,673.32 = 1,970.65 : x
  2. Step 2: Convert to fraction form
    3,386.53/4,673.32 = 1,970.65/x
  3. Step 3: Cross multiply
    3,386.53x = 4,673.32 × 1,970.65
  4. Step 4: Simplify right side
    3,386.53x = 9,209,478.06
  5. Step 5: Solve for x
    x = 9,209,478.06/3,386.53
  6. Step 6: Final answer
    x = 2,719.44

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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.