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Finding the Fourth Proportional to 1,349.10, 1,861.96 and 977.76

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Solution

The fourth proportional to 1,349.10, 1,861.96 and 977.76 is: 1,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.10 : 1,861.96 = 977.76 : x
  2. Step 2: Convert to fraction form
    1,349.10/1,861.96 = 977.76/x
  3. Step 3: Cross multiply
    1,349.10x = 1,861.96 × 977.76
  4. Step 4: Simplify right side
    1,349.10x = 1,820,547.57
  5. Step 5: Solve for x
    x = 1,820,547.57/1,349.10
  6. Step 6: Final answer
    x = 1,349.45

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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.