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Finding the Fourth Proportional to 1,678.77, 2,315.93 and 1,048.89

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Solution

The fourth proportional to 1,678.77, 2,315.93 and 1,048.89 is: 1,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.77 : 2,315.93 = 1,048.89 : x
  2. Step 2: Convert to fraction form
    1,678.77/2,315.93 = 1,048.89/x
  3. Step 3: Cross multiply
    1,678.77x = 2,315.93 × 1,048.89
  4. Step 4: Simplify right side
    1,678.77x = 2,429,150.57
  5. Step 5: Solve for x
    x = 2,429,150.57/1,678.77
  6. Step 6: Final answer
    x = 1,446.98

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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.