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Finding the Fourth Proportional to 1,677.95, 2,317.51 and 1,117.50

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Solution

The fourth proportional to 1,677.95, 2,317.51 and 1,117.50 is: 1,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.95 : 2,317.51 = 1,117.50 : x
  2. Step 2: Convert to fraction form
    1,677.95/2,317.51 = 1,117.50/x
  3. Step 3: Cross multiply
    1,677.95x = 2,317.51 × 1,117.50
  4. Step 4: Simplify right side
    1,677.95x = 2,589,810.13
  5. Step 5: Solve for x
    x = 2,589,810.13/1,677.95
  6. Step 6: Final answer
    x = 1,543.44

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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.