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Finding the Fourth Proportional to 1,577.70, 2,348.10 and 1,504.80

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Solution

The fourth proportional to 1,577.70, 2,348.10 and 1,504.80 is: 2,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.70 : 2,348.10 = 1,504.80 : x
  2. Step 2: Convert to fraction form
    1,577.70/2,348.10 = 1,504.80/x
  3. Step 3: Cross multiply
    1,577.70x = 2,348.10 × 1,504.80
  4. Step 4: Simplify right side
    1,577.70x = 3,533,420.88
  5. Step 5: Solve for x
    x = 3,533,420.88/1,577.70
  6. Step 6: Final answer
    x = 2,239.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.