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Finding the Fourth Proportional to 1,830.99, 2,526.73 and 1,045.02

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Solution

The fourth proportional to 1,830.99, 2,526.73 and 1,045.02 is: 1,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.99 : 2,526.73 = 1,045.02 : x
  2. Step 2: Convert to fraction form
    1,830.99/2,526.73 = 1,045.02/x
  3. Step 3: Cross multiply
    1,830.99x = 2,526.73 × 1,045.02
  4. Step 4: Simplify right side
    1,830.99x = 2,640,483.38
  5. Step 5: Solve for x
    x = 2,640,483.38/1,830.99
  6. Step 6: Final answer
    x = 1,442.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.