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Finding the Fourth Proportional to 1,588.95, 2,385.81 and 975.23

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Solution

The fourth proportional to 1,588.95, 2,385.81 and 975.23 is: 1,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.95 : 2,385.81 = 975.23 : x
  2. Step 2: Convert to fraction form
    1,588.95/2,385.81 = 975.23/x
  3. Step 3: Cross multiply
    1,588.95x = 2,385.81 × 975.23
  4. Step 4: Simplify right side
    1,588.95x = 2,326,713.49
  5. Step 5: Solve for x
    x = 2,326,713.49/1,588.95
  6. Step 6: Final answer
    x = 1,464.31

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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.