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Finding the Fourth Proportional to 1,670.94, 2,507 and 1,117.86

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Solution

The fourth proportional to 1,670.94, 2,507 and 1,117.86 is: 1,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.94 : 2,507 = 1,117.86 : x
  2. Step 2: Convert to fraction form
    1,670.94/2,507 = 1,117.86/x
  3. Step 3: Cross multiply
    1,670.94x = 2,507 × 1,117.86
  4. Step 4: Simplify right side
    1,670.94x = 2,802,475.02
  5. Step 5: Solve for x
    x = 2,802,475.02/1,670.94
  6. Step 6: Final answer
    x = 1,677.18

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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.