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Finding the Fourth Proportional to 1,709.40, 2,562.30 and 977.40

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Solution

The fourth proportional to 1,709.40, 2,562.30 and 977.40 is: 1,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.40 : 2,562.30 = 977.40 : x
  2. Step 2: Convert to fraction form
    1,709.40/2,562.30 = 977.40/x
  3. Step 3: Cross multiply
    1,709.40x = 2,562.30 × 977.40
  4. Step 4: Simplify right side
    1,709.40x = 2,504,392.02
  5. Step 5: Solve for x
    x = 2,504,392.02/1,709.40
  6. Step 6: Final answer
    x = 1,465.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.