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Finding the Fourth Proportional to 1,307.32, 1,959.06 and 1,267.90

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Solution

The fourth proportional to 1,307.32, 1,959.06 and 1,267.90 is: 1,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.32 : 1,959.06 = 1,267.90 : x
  2. Step 2: Convert to fraction form
    1,307.32/1,959.06 = 1,267.90/x
  3. Step 3: Cross multiply
    1,307.32x = 1,959.06 × 1,267.90
  4. Step 4: Simplify right side
    1,307.32x = 2,483,892.17
  5. Step 5: Solve for x
    x = 2,483,892.17/1,307.32
  6. Step 6: Final answer
    x = 1,899.99

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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.