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Finding the Fourth Proportional to 2,588.95, 3,572.85 and 1,410.11

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Solution

The fourth proportional to 2,588.95, 3,572.85 and 1,410.11 is: 1,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.95 : 3,572.85 = 1,410.11 : x
  2. Step 2: Convert to fraction form
    2,588.95/3,572.85 = 1,410.11/x
  3. Step 3: Cross multiply
    2,588.95x = 3,572.85 × 1,410.11
  4. Step 4: Simplify right side
    2,588.95x = 5,038,086.60
  5. Step 5: Solve for x
    x = 5,038,086.60/2,588.95
  6. Step 6: Final answer
    x = 1,946.00

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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.