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Finding the Fourth Proportional to 2,390.47, 3,585.61 and 659.05

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Solution

The fourth proportional to 2,390.47, 3,585.61 and 659.05 is: 988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.47 : 3,585.61 = 659.05 : x
  2. Step 2: Convert to fraction form
    2,390.47/3,585.61 = 659.05/x
  3. Step 3: Cross multiply
    2,390.47x = 3,585.61 × 659.05
  4. Step 4: Simplify right side
    2,390.47x = 2,363,075.05
  5. Step 5: Solve for x
    x = 2,363,075.05/2,390.47
  6. Step 6: Final answer
    x = 988.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.