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Finding the Fourth Proportional to 2,018.67, 2,784.76 and 1,752.76

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Solution

The fourth proportional to 2,018.67, 2,784.76 and 1,752.76 is: 2,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.67 : 2,784.76 = 1,752.76 : x
  2. Step 2: Convert to fraction form
    2,018.67/2,784.76 = 1,752.76/x
  3. Step 3: Cross multiply
    2,018.67x = 2,784.76 × 1,752.76
  4. Step 4: Simplify right side
    2,018.67x = 4,881,015.94
  5. Step 5: Solve for x
    x = 4,881,015.94/2,018.67
  6. Step 6: Final answer
    x = 2,417.94

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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.