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Finding the Fourth Proportional to 1,590.76, 2,376.41 and 1,533.16

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Solution

The fourth proportional to 1,590.76, 2,376.41 and 1,533.16 is: 2,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.76 : 2,376.41 = 1,533.16 : x
  2. Step 2: Convert to fraction form
    1,590.76/2,376.41 = 1,533.16/x
  3. Step 3: Cross multiply
    1,590.76x = 2,376.41 × 1,533.16
  4. Step 4: Simplify right side
    1,590.76x = 3,643,416.76
  5. Step 5: Solve for x
    x = 3,643,416.76/1,590.76
  6. Step 6: Final answer
    x = 2,290.36

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