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Finding the Fourth Proportional to 2,088.78, 2,883.51 and 1,303.98

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Solution

The fourth proportional to 2,088.78, 2,883.51 and 1,303.98 is: 1,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.78 : 2,883.51 = 1,303.98 : x
  2. Step 2: Convert to fraction form
    2,088.78/2,883.51 = 1,303.98/x
  3. Step 3: Cross multiply
    2,088.78x = 2,883.51 × 1,303.98
  4. Step 4: Simplify right side
    2,088.78x = 3,760,039.37
  5. Step 5: Solve for x
    x = 3,760,039.37/2,088.78
  6. Step 6: Final answer
    x = 1,800.11

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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.