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Finding the Fourth Proportional to 1,345.98, 2,007.76 and 1,323.68

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Solution

The fourth proportional to 1,345.98, 2,007.76 and 1,323.68 is: 1,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.98 : 2,007.76 = 1,323.68 : x
  2. Step 2: Convert to fraction form
    1,345.98/2,007.76 = 1,323.68/x
  3. Step 3: Cross multiply
    1,345.98x = 2,007.76 × 1,323.68
  4. Step 4: Simplify right side
    1,345.98x = 2,657,631.76
  5. Step 5: Solve for x
    x = 2,657,631.76/1,345.98
  6. Step 6: Final answer
    x = 1,974.50

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Why These Related Problems?

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