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Finding the Fourth Proportional to 1,410, 1,944.52 and 1,210.77

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Solution

The fourth proportional to 1,410, 1,944.52 and 1,210.77 is: 1,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410 : 1,944.52 = 1,210.77 : x
  2. Step 2: Convert to fraction form
    1,410/1,944.52 = 1,210.77/x
  3. Step 3: Cross multiply
    1,410x = 1,944.52 × 1,210.77
  4. Step 4: Simplify right side
    1,410x = 2,354,366.48
  5. Step 5: Solve for x
    x = 2,354,366.48/1,410
  6. Step 6: Final answer
    x = 1,669.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.