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Finding the Fourth Proportional to 2,953.64, 4,075.93 and 1,609.18

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Solution

The fourth proportional to 2,953.64, 4,075.93 and 1,609.18 is: 2,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.64 : 4,075.93 = 1,609.18 : x
  2. Step 2: Convert to fraction form
    2,953.64/4,075.93 = 1,609.18/x
  3. Step 3: Cross multiply
    2,953.64x = 4,075.93 × 1,609.18
  4. Step 4: Simplify right side
    2,953.64x = 6,558,905.04
  5. Step 5: Solve for x
    x = 6,558,905.04/2,953.64
  6. Step 6: Final answer
    x = 2,220.62

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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.