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Finding the Fourth Proportional to 1,462.08, 2,189.88 and 812.40

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Solution

The fourth proportional to 1,462.08, 2,189.88 and 812.40 is: 1,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.08 : 2,189.88 = 812.40 : x
  2. Step 2: Convert to fraction form
    1,462.08/2,189.88 = 812.40/x
  3. Step 3: Cross multiply
    1,462.08x = 2,189.88 × 812.40
  4. Step 4: Simplify right side
    1,462.08x = 1,779,058.51
  5. Step 5: Solve for x
    x = 1,779,058.51/1,462.08
  6. Step 6: Final answer
    x = 1,216.80

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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.