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Finding the Fourth Proportional to 1,771.93, 2,445.80 and 1,026.07

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Solution

The fourth proportional to 1,771.93, 2,445.80 and 1,026.07 is: 1,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.93 : 2,445.80 = 1,026.07 : x
  2. Step 2: Convert to fraction form
    1,771.93/2,445.80 = 1,026.07/x
  3. Step 3: Cross multiply
    1,771.93x = 2,445.80 × 1,026.07
  4. Step 4: Simplify right side
    1,771.93x = 2,509,550.76
  5. Step 5: Solve for x
    x = 2,509,550.76/1,771.93
  6. Step 6: Final answer
    x = 1,416.28

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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.