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Finding the Fourth Proportional to 2,140.72, 2,952.80 and 1,312.72

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Solution

The fourth proportional to 2,140.72, 2,952.80 and 1,312.72 is: 1,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.72 : 2,952.80 = 1,312.72 : x
  2. Step 2: Convert to fraction form
    2,140.72/2,952.80 = 1,312.72/x
  3. Step 3: Cross multiply
    2,140.72x = 2,952.80 × 1,312.72
  4. Step 4: Simplify right side
    2,140.72x = 3,876,199.62
  5. Step 5: Solve for x
    x = 3,876,199.62/2,140.72
  6. Step 6: Final answer
    x = 1,810.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.