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Finding the Fourth Proportional to 1,619.55, 2,429.15 and 465.30

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Solution

The fourth proportional to 1,619.55, 2,429.15 and 465.30 is: 697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.55 : 2,429.15 = 465.30 : x
  2. Step 2: Convert to fraction form
    1,619.55/2,429.15 = 465.30/x
  3. Step 3: Cross multiply
    1,619.55x = 2,429.15 × 465.30
  4. Step 4: Simplify right side
    1,619.55x = 1,130,281.17
  5. Step 5: Solve for x
    x = 1,130,281.17/1,619.55
  6. Step 6: Final answer
    x = 697.90

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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.