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Finding the Fourth Proportional to 1,547.15, 2,320 and 898.07

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Solution

The fourth proportional to 1,547.15, 2,320 and 898.07 is: 1,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.15 : 2,320 = 898.07 : x
  2. Step 2: Convert to fraction form
    1,547.15/2,320 = 898.07/x
  3. Step 3: Cross multiply
    1,547.15x = 2,320 × 898.07
  4. Step 4: Simplify right side
    1,547.15x = 2,083,522.40
  5. Step 5: Solve for x
    x = 2,083,522.40/1,547.15
  6. Step 6: Final answer
    x = 1,346.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.