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Finding the Fourth Proportional to 1,509.42, 2,069.46 and 1,506.98

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Solution

The fourth proportional to 1,509.42, 2,069.46 and 1,506.98 is: 2,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.42 : 2,069.46 = 1,506.98 : x
  2. Step 2: Convert to fraction form
    1,509.42/2,069.46 = 1,506.98/x
  3. Step 3: Cross multiply
    1,509.42x = 2,069.46 × 1,506.98
  4. Step 4: Simplify right side
    1,509.42x = 3,118,634.83
  5. Step 5: Solve for x
    x = 3,118,634.83/1,509.42
  6. Step 6: Final answer
    x = 2,066.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.