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Finding the Fourth Proportional to 1,708.78, 2,563.20 and 977.98

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Solution

The fourth proportional to 1,708.78, 2,563.20 and 977.98 is: 1,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.78 : 2,563.20 = 977.98 : x
  2. Step 2: Convert to fraction form
    1,708.78/2,563.20 = 977.98/x
  3. Step 3: Cross multiply
    1,708.78x = 2,563.20 × 977.98
  4. Step 4: Simplify right side
    1,708.78x = 2,506,758.34
  5. Step 5: Solve for x
    x = 2,506,758.34/1,708.78
  6. Step 6: Final answer
    x = 1,466.99

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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.