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Finding the Fourth Proportional to 1,653.22, 2,281.80 and 990.10

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Solution

The fourth proportional to 1,653.22, 2,281.80 and 990.10 is: 1,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.22 : 2,281.80 = 990.10 : x
  2. Step 2: Convert to fraction form
    1,653.22/2,281.80 = 990.10/x
  3. Step 3: Cross multiply
    1,653.22x = 2,281.80 × 990.10
  4. Step 4: Simplify right side
    1,653.22x = 2,259,210.18
  5. Step 5: Solve for x
    x = 2,259,210.18/1,653.22
  6. Step 6: Final answer
    x = 1,366.55

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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.