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Finding the Fourth Proportional to 1,572.08, 2,167.68 and 1,490

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Solution

The fourth proportional to 1,572.08, 2,167.68 and 1,490 is: 2,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.08 : 2,167.68 = 1,490 : x
  2. Step 2: Convert to fraction form
    1,572.08/2,167.68 = 1,490/x
  3. Step 3: Cross multiply
    1,572.08x = 2,167.68 × 1,490
  4. Step 4: Simplify right side
    1,572.08x = 3,229,843.20
  5. Step 5: Solve for x
    x = 3,229,843.20/1,572.08
  6. Step 6: Final answer
    x = 2,054.50

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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.