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Finding the Fourth Proportional to 2,877.57, 4,316.90 and 1,707.12

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Solution

The fourth proportional to 2,877.57, 4,316.90 and 1,707.12 is: 2,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.57 : 4,316.90 = 1,707.12 : x
  2. Step 2: Convert to fraction form
    2,877.57/4,316.90 = 1,707.12/x
  3. Step 3: Cross multiply
    2,877.57x = 4,316.90 × 1,707.12
  4. Step 4: Simplify right side
    2,877.57x = 7,369,457.79
  5. Step 5: Solve for x
    x = 7,369,457.79/2,877.57
  6. Step 6: Final answer
    x = 2,561.00

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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.