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Finding the Fourth Proportional to 1,848.64, 2,545.68 and 1,652.08

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Solution

The fourth proportional to 1,848.64, 2,545.68 and 1,652.08 is: 2,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.64 : 2,545.68 = 1,652.08 : x
  2. Step 2: Convert to fraction form
    1,848.64/2,545.68 = 1,652.08/x
  3. Step 3: Cross multiply
    1,848.64x = 2,545.68 × 1,652.08
  4. Step 4: Simplify right side
    1,848.64x = 4,205,667.01
  5. Step 5: Solve for x
    x = 4,205,667.01/1,848.64
  6. Step 6: Final answer
    x = 2,275.01

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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.