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Finding the Fourth Proportional to 1,590.99, 2,384.64 and 1,298.94

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Solution

The fourth proportional to 1,590.99, 2,384.64 and 1,298.94 is: 1,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.99 : 2,384.64 = 1,298.94 : x
  2. Step 2: Convert to fraction form
    1,590.99/2,384.64 = 1,298.94/x
  3. Step 3: Cross multiply
    1,590.99x = 2,384.64 × 1,298.94
  4. Step 4: Simplify right side
    1,590.99x = 3,097,504.28
  5. Step 5: Solve for x
    x = 3,097,504.28/1,590.99
  6. Step 6: Final answer
    x = 1,946.90

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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.