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Finding the Fourth Proportional to 2,970.68, 4,095.44 and 2,570.80

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Solution

The fourth proportional to 2,970.68, 4,095.44 and 2,570.80 is: 3,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.68 : 4,095.44 = 2,570.80 : x
  2. Step 2: Convert to fraction form
    2,970.68/4,095.44 = 2,570.80/x
  3. Step 3: Cross multiply
    2,970.68x = 4,095.44 × 2,570.80
  4. Step 4: Simplify right side
    2,970.68x = 10,528,557.15
  5. Step 5: Solve for x
    x = 10,528,557.15/2,970.68
  6. Step 6: Final answer
    x = 3,544.16

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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.