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Finding the Fourth Proportional to 2,588.86, 3,572.70 and 1,409.95

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Solution

The fourth proportional to 2,588.86, 3,572.70 and 1,409.95 is: 1,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.86 : 3,572.70 = 1,409.95 : x
  2. Step 2: Convert to fraction form
    2,588.86/3,572.70 = 1,409.95/x
  3. Step 3: Cross multiply
    2,588.86x = 3,572.70 × 1,409.95
  4. Step 4: Simplify right side
    2,588.86x = 5,037,328.37
  5. Step 5: Solve for x
    x = 5,037,328.37/2,588.86
  6. Step 6: Final answer
    x = 1,945.77

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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.