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Finding the Fourth Proportional to 1,788.42, 2,688.12 and 1,307.28

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Solution

The fourth proportional to 1,788.42, 2,688.12 and 1,307.28 is: 1,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.42 : 2,688.12 = 1,307.28 : x
  2. Step 2: Convert to fraction form
    1,788.42/2,688.12 = 1,307.28/x
  3. Step 3: Cross multiply
    1,788.42x = 2,688.12 × 1,307.28
  4. Step 4: Simplify right side
    1,788.42x = 3,514,125.51
  5. Step 5: Solve for x
    x = 3,514,125.51/1,788.42
  6. Step 6: Final answer
    x = 1,964.93

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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.