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Finding the Fourth Proportional to 2,307.51, 3,460.59 and 1,791

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Solution

The fourth proportional to 2,307.51, 3,460.59 and 1,791 is: 2,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.51 : 3,460.59 = 1,791 : x
  2. Step 2: Convert to fraction form
    2,307.51/3,460.59 = 1,791/x
  3. Step 3: Cross multiply
    2,307.51x = 3,460.59 × 1,791
  4. Step 4: Simplify right side
    2,307.51x = 6,197,916.69
  5. Step 5: Solve for x
    x = 6,197,916.69/2,307.51
  6. Step 6: Final answer
    x = 2,685.98

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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.