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Finding the Fourth Proportional to 1,703.60, 2,557.20 and 974.60

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Solution

The fourth proportional to 1,703.60, 2,557.20 and 974.60 is: 1,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.60 : 2,557.20 = 974.60 : x
  2. Step 2: Convert to fraction form
    1,703.60/2,557.20 = 974.60/x
  3. Step 3: Cross multiply
    1,703.60x = 2,557.20 × 974.60
  4. Step 4: Simplify right side
    1,703.60x = 2,492,247.12
  5. Step 5: Solve for x
    x = 2,492,247.12/1,703.60
  6. Step 6: Final answer
    x = 1,462.93

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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.