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Finding the Fourth Proportional to 1,543.02, 2,130.22 and 976.60

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Solution

The fourth proportional to 1,543.02, 2,130.22 and 976.60 is: 1,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.02 : 2,130.22 = 976.60 : x
  2. Step 2: Convert to fraction form
    1,543.02/2,130.22 = 976.60/x
  3. Step 3: Cross multiply
    1,543.02x = 2,130.22 × 976.60
  4. Step 4: Simplify right side
    1,543.02x = 2,080,378.90
  5. Step 5: Solve for x
    x = 2,080,378.90/1,543.02
  6. Step 6: Final answer
    x = 1,348.25

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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.