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Finding the Fourth Proportional to 2,472.15, 3,702.35 and 1,430.00

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Solution

The fourth proportional to 2,472.15, 3,702.35 and 1,430.00 is: 2,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.15 : 3,702.35 = 1,430.00 : x
  2. Step 2: Convert to fraction form
    2,472.15/3,702.35 = 1,430.00/x
  3. Step 3: Cross multiply
    2,472.15x = 3,702.35 × 1,430.00
  4. Step 4: Simplify right side
    2,472.15x = 5,294,334.84
  5. Step 5: Solve for x
    x = 5,294,334.84/2,472.15
  6. Step 6: Final answer
    x = 2,141.59

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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.