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Finding the Fourth Proportional to 1,499.95, 2,068.36 and 1,290.83

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Solution

The fourth proportional to 1,499.95, 2,068.36 and 1,290.83 is: 1,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.95 : 2,068.36 = 1,290.83 : x
  2. Step 2: Convert to fraction form
    1,499.95/2,068.36 = 1,290.83/x
  3. Step 3: Cross multiply
    1,499.95x = 2,068.36 × 1,290.83
  4. Step 4: Simplify right side
    1,499.95x = 2,669,903.08
  5. Step 5: Solve for x
    x = 2,669,903.08/1,499.95
  6. Step 6: Final answer
    x = 1,780.00

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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.