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Finding the Fourth Proportional to 1,460.16, 2,191.08 and 595.20

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Solution

The fourth proportional to 1,460.16, 2,191.08 and 595.20 is: 893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.16 : 2,191.08 = 595.20 : x
  2. Step 2: Convert to fraction form
    1,460.16/2,191.08 = 595.20/x
  3. Step 3: Cross multiply
    1,460.16x = 2,191.08 × 595.20
  4. Step 4: Simplify right side
    1,460.16x = 1,304,130.82
  5. Step 5: Solve for x
    x = 1,304,130.82/1,460.16
  6. Step 6: Final answer
    x = 893.14

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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.