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Finding the Fourth Proportional to 1,681.65, 2,316.92 and 1,261.35

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Solution

The fourth proportional to 1,681.65, 2,316.92 and 1,261.35 is: 1,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.65 : 2,316.92 = 1,261.35 : x
  2. Step 2: Convert to fraction form
    1,681.65/2,316.92 = 1,261.35/x
  3. Step 3: Cross multiply
    1,681.65x = 2,316.92 × 1,261.35
  4. Step 4: Simplify right side
    1,681.65x = 2,922,440.74
  5. Step 5: Solve for x
    x = 2,922,440.74/1,681.65
  6. Step 6: Final answer
    x = 1,737.84

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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.