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Finding the Fourth Proportional to 1,495.67, 2,242.38 and 1,032.12

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Solution

The fourth proportional to 1,495.67, 2,242.38 and 1,032.12 is: 1,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.67 : 2,242.38 = 1,032.12 : x
  2. Step 2: Convert to fraction form
    1,495.67/2,242.38 = 1,032.12/x
  3. Step 3: Cross multiply
    1,495.67x = 2,242.38 × 1,032.12
  4. Step 4: Simplify right side
    1,495.67x = 2,314,417.52
  5. Step 5: Solve for x
    x = 2,314,417.52/1,495.67
  6. Step 6: Final answer
    x = 1,547.41

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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.