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Finding the Fourth Proportional to 1,699.30, 2,547.60 and 929.80

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Solution

The fourth proportional to 1,699.30, 2,547.60 and 929.80 is: 1,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.30 : 2,547.60 = 929.80 : x
  2. Step 2: Convert to fraction form
    1,699.30/2,547.60 = 929.80/x
  3. Step 3: Cross multiply
    1,699.30x = 2,547.60 × 929.80
  4. Step 4: Simplify right side
    1,699.30x = 2,368,758.48
  5. Step 5: Solve for x
    x = 2,368,758.48/1,699.30
  6. Step 6: Final answer
    x = 1,393.96

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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.