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Finding the Fourth Proportional to 2,176.71, 3,002.49 and 1,291.89

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Solution

The fourth proportional to 2,176.71, 3,002.49 and 1,291.89 is: 1,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.71 : 3,002.49 = 1,291.89 : x
  2. Step 2: Convert to fraction form
    2,176.71/3,002.49 = 1,291.89/x
  3. Step 3: Cross multiply
    2,176.71x = 3,002.49 × 1,291.89
  4. Step 4: Simplify right side
    2,176.71x = 3,878,886.81
  5. Step 5: Solve for x
    x = 3,878,886.81/2,176.71
  6. Step 6: Final answer
    x = 1,782.00

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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.