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Finding the Fourth Proportional to 2,430.24, 3,646.36 and 870.44

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Solution

The fourth proportional to 2,430.24, 3,646.36 and 870.44 is: 1,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.24 : 3,646.36 = 870.44 : x
  2. Step 2: Convert to fraction form
    2,430.24/3,646.36 = 870.44/x
  3. Step 3: Cross multiply
    2,430.24x = 3,646.36 × 870.44
  4. Step 4: Simplify right side
    2,430.24x = 3,173,937.60
  5. Step 5: Solve for x
    x = 3,173,937.60/2,430.24
  6. Step 6: Final answer
    x = 1,306.02

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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.