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Finding the Fourth Proportional to 1,567.62, 2,346.80 and 980.69

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Solution

The fourth proportional to 1,567.62, 2,346.80 and 980.69 is: 1,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.62 : 2,346.80 = 980.69 : x
  2. Step 2: Convert to fraction form
    1,567.62/2,346.80 = 980.69/x
  3. Step 3: Cross multiply
    1,567.62x = 2,346.80 × 980.69
  4. Step 4: Simplify right side
    1,567.62x = 2,301,466.65
  5. Step 5: Solve for x
    x = 2,301,466.65/1,567.62
  6. Step 6: Final answer
    x = 1,468.13

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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.