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Finding the Fourth Proportional to 2,953.40, 4,075.70 and 1,609.01

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Solution

The fourth proportional to 2,953.40, 4,075.70 and 1,609.01 is: 2,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.40 : 4,075.70 = 1,609.01 : x
  2. Step 2: Convert to fraction form
    2,953.40/4,075.70 = 1,609.01/x
  3. Step 3: Cross multiply
    2,953.40x = 4,075.70 × 1,609.01
  4. Step 4: Simplify right side
    2,953.40x = 6,557,826.51
  5. Step 5: Solve for x
    x = 6,557,826.51/2,953.40
  6. Step 6: Final answer
    x = 2,220.43

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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.