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Finding the Fourth Proportional to 1,341.48, 1,852 and 1,026.14

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Solution

The fourth proportional to 1,341.48, 1,852 and 1,026.14 is: 1,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.48 : 1,852 = 1,026.14 : x
  2. Step 2: Convert to fraction form
    1,341.48/1,852 = 1,026.14/x
  3. Step 3: Cross multiply
    1,341.48x = 1,852 × 1,026.14
  4. Step 4: Simplify right side
    1,341.48x = 1,900,411.28
  5. Step 5: Solve for x
    x = 1,900,411.28/1,341.48
  6. Step 6: Final answer
    x = 1,416.65

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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.