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Finding the Fourth Proportional to 1,348.84, 2,014.88 and 1,130.14

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Solution

The fourth proportional to 1,348.84, 2,014.88 and 1,130.14 is: 1,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.84 : 2,014.88 = 1,130.14 : x
  2. Step 2: Convert to fraction form
    1,348.84/2,014.88 = 1,130.14/x
  3. Step 3: Cross multiply
    1,348.84x = 2,014.88 × 1,130.14
  4. Step 4: Simplify right side
    1,348.84x = 2,277,096.48
  5. Step 5: Solve for x
    x = 2,277,096.48/1,348.84
  6. Step 6: Final answer
    x = 1,688.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.