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Finding the Fourth Proportional to 2,587.65, 3,570.98 and 1,408.70

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Solution

The fourth proportional to 2,587.65, 3,570.98 and 1,408.70 is: 1,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.65 : 3,570.98 = 1,408.70 : x
  2. Step 2: Convert to fraction form
    2,587.65/3,570.98 = 1,408.70/x
  3. Step 3: Cross multiply
    2,587.65x = 3,570.98 × 1,408.70
  4. Step 4: Simplify right side
    2,587.65x = 5,030,414.63
  5. Step 5: Solve for x
    x = 5,030,414.63/2,587.65
  6. Step 6: Final answer
    x = 1,944.01

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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.