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Finding the Fourth Proportional to 1,812.86, 2,501.82 and 1,026.98

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Solution

The fourth proportional to 1,812.86, 2,501.82 and 1,026.98 is: 1,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.86 : 2,501.82 = 1,026.98 : x
  2. Step 2: Convert to fraction form
    1,812.86/2,501.82 = 1,026.98/x
  3. Step 3: Cross multiply
    1,812.86x = 2,501.82 × 1,026.98
  4. Step 4: Simplify right side
    1,812.86x = 2,569,319.10
  5. Step 5: Solve for x
    x = 2,569,319.10/1,812.86
  6. Step 6: Final answer
    x = 1,417.27

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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.