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Finding the Fourth Proportional to 2,990.84, 4,484.64 and 1,259.12

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Solution

The fourth proportional to 2,990.84, 4,484.64 and 1,259.12 is: 1,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.84 : 4,484.64 = 1,259.12 : x
  2. Step 2: Convert to fraction form
    2,990.84/4,484.64 = 1,259.12/x
  3. Step 3: Cross multiply
    2,990.84x = 4,484.64 × 1,259.12
  4. Step 4: Simplify right side
    2,990.84x = 5,646,699.92
  5. Step 5: Solve for x
    x = 5,646,699.92/2,990.84
  6. Step 6: Final answer
    x = 1,888.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.