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Finding the Fourth Proportional to 2,588.94, 3,572.70 and 1,410

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Solution

The fourth proportional to 2,588.94, 3,572.70 and 1,410 is: 1,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.94 : 3,572.70 = 1,410 : x
  2. Step 2: Convert to fraction form
    2,588.94/3,572.70 = 1,410/x
  3. Step 3: Cross multiply
    2,588.94x = 3,572.70 × 1,410
  4. Step 4: Simplify right side
    2,588.94x = 5,037,507
  5. Step 5: Solve for x
    x = 5,037,507/2,588.94
  6. Step 6: Final answer
    x = 1,945.78

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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.