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Finding the Fourth Proportional to 1,970.33, 2,952.95 and 1,046.32

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Solution

The fourth proportional to 1,970.33, 2,952.95 and 1,046.32 is: 1,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.33 : 2,952.95 = 1,046.32 : x
  2. Step 2: Convert to fraction form
    1,970.33/2,952.95 = 1,046.32/x
  3. Step 3: Cross multiply
    1,970.33x = 2,952.95 × 1,046.32
  4. Step 4: Simplify right side
    1,970.33x = 3,089,718.03
  5. Step 5: Solve for x
    x = 3,089,718.03/1,970.33
  6. Step 6: Final answer
    x = 1,568.13

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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.