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Finding the Fourth Proportional to 1,407.76, 2,109.80 and 974

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Solution

The fourth proportional to 1,407.76, 2,109.80 and 974 is: 1,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.76 : 2,109.80 = 974 : x
  2. Step 2: Convert to fraction form
    1,407.76/2,109.80 = 974/x
  3. Step 3: Cross multiply
    1,407.76x = 2,109.80 × 974
  4. Step 4: Simplify right side
    1,407.76x = 2,054,945.20
  5. Step 5: Solve for x
    x = 2,054,945.20/1,407.76
  6. Step 6: Final answer
    x = 1,459.73

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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.