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Finding the Fourth Proportional to 2,588.95, 3,572.76 and 1,410.02

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Solution

The fourth proportional to 2,588.95, 3,572.76 and 1,410.02 is: 1,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.95 : 3,572.76 = 1,410.02 : x
  2. Step 2: Convert to fraction form
    2,588.95/3,572.76 = 1,410.02/x
  3. Step 3: Cross multiply
    2,588.95x = 3,572.76 × 1,410.02
  4. Step 4: Simplify right side
    2,588.95x = 5,037,663.06
  5. Step 5: Solve for x
    x = 5,037,663.06/2,588.95
  6. Step 6: Final answer
    x = 1,945.83

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